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Having fixed an earlier case of intrusive line-spacing, I now have white-space being added after the first line of a section (not after the section title itself, after the first line of text below it) when using reledmac/reledpar to do a facing-page translation. There appears to be more spacing added on the left-hand (source) page than on the right (target), which is weird.

I have made a MWE in test.tex and celttest.sty rather thanpost them inline, because the text is quite long (to fill one page). You will need XeLaTeX and the Junicode font installed to process it.

I am sure it's something I have overlooked, but I can't see it.

As explained manytimes both in SE and in the handbook, and in the example,
YOU MUST NOT add direclty section and related inside pstart...pend structure.

You must use one on the following system
- If you don't want the section be counted in line numbering, add them as optional argument of pstart
- If you want the section be counted in line numbering, use elesection and related in a specific pstart…pend structure.

Here an example of first use

documentclass{book}

usepackage{celttest}

usepackage[irish,latin,english]{babel}

begin{document}

begin{pages}

begin{Leftside}

selectlanguage{irish}

beginnumbering

pstart[subsubsection{foo}]

Bui iarla soim saidhbir a Saxanaib do

          shindrudh, diarba comainm Risderd o Bharbhaicc,

          ⁊ ro búi da iarlacht aigi .i. iarlacht o

          Bharbhuicc ⁊ iarlacht Bocigam, ⁊ dob

          fer saidhbir, sochinelach in t-iarla co n-ilimud gacha

          maithusafootnote{Perhaps

        rather to be expanded `maithiusa'. Here and in

        `flaithus', below, I have given the abbreviation its

        usual value of `us'.}. ⁊ ro bui ingen

          cruthach, caemhaluind a dingmala aigi .i. Feilis a

          h-ainm-sidhe, ⁊ ni roibhi ina h-aimsir ben dob

          ferr delbh ⁊ denum, modh ⁊

          múnudh, druine ⁊ dethbes, na'n

          ingin-sin. Do cuiredh immorro ardmaigistir dia munud

          annsna h-eltextsl{adhnaibh} sáera,

          ⁊ nir cian iarum disi co melluline{adh} a

          maigistir i n-gach ealathain, co tucc in maigistir slat

          a muinti di budhein iarna sharugudh di i n-gach egna a

          cinn a sechtfootnote{Here and

        in many other cases where the MS has the sign of the

        numeral, I have regularly expanded these abbreviations

        in my text.} m-bliadhna dec do sinnrud. Co clos

          fon uili domhun a dethclú itir egna ⁊

          ordan ⁊ einech, etir cradhbudh ⁊

          ciunus ⁊ cunnlacht, itir gloine ⁊ gais

          ⁊ glicus, gur bo lán da serc ⁊

          da sírgradh uaisli ⁊ ardmaithi na

          cruinne co comcoitcenn. Ro búi didiu textit{sdibard} uasal,

          oirbindech ag iarla o Barbuicc an inbuidh sin .i.

          Siccard a ainm sidhe, ⁊ dob fer furtill,

          fírchalma é, co m-buaidh coscuir

          ⁊ commaidhmi i n-gach gním ro bo

          dír do neoch do beth aigi. Gemad uathadh don

          iarla, nír ba h-omhun lais nuline{er}t sluaigh

          na sochraiti acht co m-beth in t-uasal barun-sin aga

          imcoimét. ⁊ Is é ro bidh ac

          tabhach a císsa ⁊ a chana don iarla,

          ⁊ gidbe do nídh dogra no doible fris im

          cis in iarla, do-beradh san achar ⁊

          innarbuline{a} asa flaithus fein forra.

pendpstart

2]~Ro bui mac a dingmala agan textit{sdibard}-sin, Gyi a ainm-side,

          ⁊ ro sháraigh na h-uili macu a aimsiri

          ar mét ar maisi ar macantacht, ar nos ar nert ar

          nidechus, ar uaill ar aicnedh ar arachtus, gur ba lan na

          cricha co comlán ⁊ na cennacha

          comfocuiss dia clú ⁊ dia alludh,

          ⁊ gach inadh ina cluineadh Gyi cluithighi

          aonaig ⁊ ibhnis ⁊ oirechtais ar fedh

          ⁊ ar fiarlaidh sout{crichi}thinspace:thinspace cricifootnote{In many cases the marks of aspiration are

        indistinct.} saeruaisli Saxan, {normalfontfootnotesize[300b]} do freagradh iat ⁊ do-beradh

          buaidh gacha buidhni co barr uiltextsl{e}.

          ⁊ do sharuighedh lucht gacha lamaigh co

          lanaibeil, ⁊ do-beredh almsa ⁊ sout{othrala}thinspace:thinspace otralafootnote{aspiration

        doubtful} minca dona h-eglasaibh ⁊

          do-beredh 

               {normalfontfootnotesizefboxsep1ptfbox{vrule height1.75ex width0pt depth.25ex 25}} dercinna ⁊ dethcealta do debtextsl{l}enaibh Dé, ⁊ ro

          annluiccedh na mairbh gan murmur gan mainnechtnaighi,

          ⁊ do-beredh fisrugudh don lucht no bidh a

          carcair ⁊ a cumgach, ⁊ do nidh na

          h-uili obuir trocuire diar-mol in eglus ina aimsir,

          ⁊ ro bui co daingen, duthrachtach isin creidem

          cathoilictextsl{d}a. Do rinne iarla o

          Berbuicc sguiger do Gy in tan sin.

pend

endnumbering

end{Leftside}

begin{Rightside}

selectlanguage{english}

markboth{sffamily Chapter arabic{section}}{sffamily }

beginnumbering

pstart[section{}]

1]~{normalfontfootnotesize[24]}There was an

          exceedingly rich earl in England whose name was Richard

          of Warwick, and he had two earldoms, namely Warwick and

          Buckingham, and a rich and well-born man was the earl

          with an abundance of all good things. He had a comely

          and beautiful daughter worthy of himself, Felice by

          name, and there was not in her time a woman who was

          better in form and figure, in handiwork and knowledge,

          in embroidery and noble manners,footnote{For this collocation cf. textit{do thecasc druinechais ⁊ bescna

          doibh}, Marco Polo, emph{CZ.} 1,

        368.} than that maiden. A great teacher was set

          to instruct her in the gentle arts, and it was not long

          afterwards that she surpassedfootnote{textit{comelladh}, perhaps

        rather to be expanded textit{comella}.

        The meaning is also doubtful. I have taken it from

        textit{millim}.} her master in

          every art, so that the master gave her the rodfootnote{I have noted no exact parallel to

        this use of textit{slat}.} of his

          instruction after being outstripped by her in every kind

          of knowledge even at the end of her seventeenth year.

          Her fair fame spread throughout all the world for

          knowledge, dignity and honor, for piety, gentleness and

          discretion, for purity, wisdom and prudence, until the

          princes and nobles of the whole earth were filled with

          love and longing for her. Now there was at that time a

          steward, noble and honorable, in the service of the Earl

          of {normalfontfootnotesizefboxsep1ptfbox{vrule height1.75ex width0pt depth.25ex 106}} Warwick, Siccard by name, and he was a

          strong man and very brave, winning victory and fame in

          every exploit that it was suitable for anyone to engage

          in. If the earl was alone, he had no fear of host or

          army, provided only that noble baron were there to

          defend him. It was he that collected the taxes and

          impostsfootnote{On textit{cis} and textit{cain}

        cf. emph{KZ.} 36, 440 and 37,

        255.} for the earl; and if there were any who

          made complaint or resistancefootnote{The

        translation of textit{doible} is

        conjectural. It is the same word as textit{duibhle}, emph{Battle

          of Magh Rath}, p. 8 (translated

        ‘rage’ by textbf{O’Donovan})?} to

          him about the taxes of the earl, he would impose upon

          them expulsion and banishment from his realm.

pendpstart

2]~That steward had a son worthy of himself, Guy by name;

          and he surpassed all the young men of his time in size,

          beauty and gentleness, in courtesy, strength and

          prowess, in pride, spirit and courage, so that the whole

          country and the neighbouring provinces were full of his

          fame and his praise. And everywhere that Guy heard of

          games at fair or festival or assembly throughout the

          length and breadth of the free and noble English land,

          he entered them and won the victory of every company,

          surpassing all,footnote{MS. textit{co barruil}? Dr. textbf{Meyer} suggested

        the reading in the text.} and defeated the men

          utterly at every kind of feat.footnote{textit{lamach} means properly

        ‘hurling’. Cf. emph{Irische Texte} 4, 274.}

          And he gave alms and frequent offeringsfootnote{I have noted no other case of textit{otrala}, unless it is the same as

        textit{othrola}, emph{RC.} 19, 380, which

        Stokes translates ‘prayers’. Should we read textit{ofrala}?} to the churches, and

          gave {normalfontfootnotesize[25]} gifts and

          clothing to God’s poor,footnote{Translation doubtful. Read textit{deblenaibh}: ‘poor, orphans’?

        But there is also an obscure word textit{debend} in emph{O’Mulconry’s Glossary}, emph{Archiv für celtische

          Lexikographie} i (1898), 271.} and

          buried the dead without murmur and without negligence,

          and visited the people who were in prison and in bonds,

          and performed all the works of mercy which the church

          praised in his time, and he was strong and zealous in

          the Catholic faith. The Earl of Warwick made Guy a

          squire at that time.

pend

endnumbering

end{Rightside}

end{pages}Pages

This

end{document}

Also look on
http://mirrors.ctan.org/macros/latex/contrib/reledmac/examples/2-titles_in_line_numbering_with_notes.tex

and
http://mirrors.ctan.org/macros/latex/contrib/reledmac/examples/2-titles_not_in_line_numbering.tex