I listened to the audio clip which Nutty provided the link to above, and transcribed this much. Unfortunately, it didn't help me find the lyrics on the 'Net.

THE THOUSAND ISLANDS SONG
Lyric by Carl Sigman
Music by Bob Hilliard
From "Angel In The Wings"
(c) 1947 (Renewed) Edwin H. Morris & Company

I left the one I love on one of the Thousand Islands
But unfortunately I can't remember which one.
So I row, row, row, row up the River St. Lawrence
And I'm hollering, "Florence,
Oh where can you be?"