Lord Inchiquin was collected in Edward Bunting's manuscripts currently residing at Queen's University Belfast.
Mrs Power is said to have been written by O'Carolan during a virtuosity competition between him and the Italian violinist Francesco Geminiani while both of them may have been invited by an Irish nobleman, Lord Mayo.
There are versions for solo lute by Thomas Robinson and Nicolas Vallet and by John Dowland with the second part of an anonymous composer, and an arrangement named Rowland by William Byrd in the Fitzwilliam Virginal Book.
It seems that this piece was made popular by William Kempe and his musicians who accompanied Robert Dudley, 1st Earl of Leicester, in Holland.
When Leicester was in disgrace and revoked, Lord Willoughby succeeded him, and Kempe, hoping to find a new employer, renamed the song in his honor.