I'm a little puzzled by that high note in the second bar, too; might it be a grace rather than part of a tuplet?  Mind, I haven't heard the record.  I may have time to look in at the library later on, and I'll see if Bronson has the Last Leaves version MacColl used; it seems likely.

As Thomas doesn't give a source for his text, I'll do it for him.  It is Child's version A, which came from Mrs. Anna Brown of Falkland in Fife (1783; Jamieson-Brown MS).  Somebody has modernised some of the spelling, anglicised other bits, and changed the names of the principals from Bicham and Shusy to Beichan and Susie.  Mrs. Brown actually had two distinct sets of the ballad; Child prints the other as his version C, Young Beckie.

The Turkish Lady (as in the DT) isn't really a Beichan variant, though it has occasionally been considered so; Child refers to it in his notes, along with other similar but also unrelated pieces, but quotes no text.  Confusion also often arises because Appalachian versions of Beichan are sometimes called The Turkish Lady.

The ballad was widely popular, particularly in England, and there are a number of broadside copies at  Bodleian Broadside Ballads,  as both Lord Bateman and Lord Beigham.  There are also several copies there of The Turkish Lady.

Lesley Nelson has the version noted by Cecil Sharp from Harry Larcombe of Haselbury-Plucknett in Somerset (1905):  Lord Bateman.  Larcombe's tune is also given with the DT file, but there it's put in 3/4 rather than 3/2, and the key is wrongly shown as E flat; it's actually in B flat.

There is a set at  The Max Hunter Folk Song Collection:

Lord Batesman  As sung by Ollie Gilbert, Mountain View, Arkansas on May 26, 1969.