The National Library of Ireland catalogue, and the Trinity College Dublin library catalogue, both list Sheil's Love Songs;being a collection of the much admired songs of that popular poet, published at the Argus Office, Drogheda, 1834 in two volumes. The NLI attributes it to Richard Lalor Sheil, 1791-1851, politician and dramatist, while TCD merely credits a Richard Sheil. If the song you're looking for exists anywhere it ought to be there somewhere. Good luck!

Matthew