Looking at the lists on allmusic.com, "Wild Geese" has 58, of which only four are the Tyson composition; two by Ian & Sylvia, one by Catherine McKinnon and one by the Hearnes.

The remaining 54 are the Irish songs, the ones by Jacob and by Simpson,the fiddle tune and the rest by various authors.
Also listed are more than 25 others with somewhat variant names (just two listed by Charley).
The Chinese have several, especially "Wild Geese Alighting on Sandy Beach," a classic trad of theirs.

As Charley says, the search is complicated, and there is no guarantee that the poster or the DT has given it the correct title; the clone would have to be omnipotent.