Two tunes that are often played together are Crowley's 1 and 2.
The legendary Connemara single row melodeon player Johnny Connolly plays these two on his first recording 'An t'Oileann Aerach', available on CIC Records.
The tune is in D; the sheet music in the booklet shows it in C, with the capo on the second fret (to bring it into D).
The highest note is the G, 3rd fret, 1st string, so you don’t have to move out of the open position.
The right hand is tricky if you include triplets, as you should be if you are playing Irish music - without ornamentation the tune does not sound authentic.