This is one of a couple of untitled polkas to be found on Michael Tubridy’s The Eagle’s Whistle LP. On the sleeve he says:
"[These] three polka…were often played for the first four figures of the Plain Set. It was not usual for tunes to be played in groups as they are now - one tune sufficed for each figure of the set - occasionally one of the better or more adventurous musicians would change into a second tune in the middle of one of the longer figures."
The first polka in his set is
"Ballydesmond Polka No.3" https://thesession.org/tunes/1410
The second is "The Lass of Gowrie" https://thesession.org/tunes/1792
Gan Ainm / “Dalaigh’s Polka” / “Séamus Cussen’s Polka”
Ray’s Favorite, X:2
This is an interesting Tralee Gaol/Ray’s Favourite ‘hybrid’ I heard from a French musician in the late 80’s. I don’t know where he got it from; he played it as a Polka but mistakenly called it a ‘slide irlandais’:
Albeit the 2nd part here is identical to Ray’s Favourite, the 1st part belongs to the family of tunes of which Tralee Gaol https://thesession.org/tunes/1113 represents the polka version and includes the march and slides versions known as The Haughs of Cromdale, The Battle of Yellow Ford, Barrack Hill, etc.
Re: Ray’s Favorite
Both the original tune and the setting I posted above are hexatonic: the dorian 6th (F#) is mostly absent but can sometimes be heard in variations such as ‘|:ea ag/a/|ba gf|ea…’ in the 2nd part.