THE IRISH WEDDING SONG, sung by Andy Cooney, is on these 3 albums:
"Irish Influence," Shanachie CD #52044, 1997;
"A Collection of Irish Hits," Rego Irish CD #3990, 1996;
"Irish Eyes," Rego Irish CD #3560, 1996.

Go to this page and click on a link to play a 50-second mp3 file.

It was written by Ian Betteridge, an Australian, who called it simply THE WEDDING SONG when he recorded it himself. (There are lots of songs with that title.) Betteridge's web site says it has been recorded by over 40 artists worldwide.