The tune given with [ LADYFRAN is a cross-reference to that given with one of the DT sets of The Croppy Boy.  That tune, apparantly Irish in origin, was quite widely-used for execution songs, and variants of it turn up with MacCassery (MacCafferty) and some versions of Newlyn Town (The Flash Lad, etc.)  It's also the tune usually used for Lord Franklin (though not precisely the same as the Croppy Boy variant, of course).  [ LADYFRN4 was quoted from a book that didn't include melodies, so we'll never know how it was sung, but my money would be on a form of the usual tune.  [ LADYFRN2, on the other hand, is from the Sam Henry collection, so there may well be notation for it in the book.  The set most people will be familiar with will probably be the one recorded by Martin Carthy, and later by John Renbourne and Pentangle; the majority of later recordings by Revival performers seem to have been learnt, at one remove or another, from those records rather than from primary sources.  Again, a variant of the usual tune, though I don't know where Carthy got it.  Now, if Ivan's tune is different, I'm looking forward to hearing it.  Where did you get it?

Oh, while I'm here, did you ever get anywhere with that Tonic Sol-Fa set of Ailein Duinn?  I've since found several versions in standard notation, but the TSF one is closest textually to the DT file, so would provide the most appropriate tune.

Malcolm