I thought this song was on an LP Burl Ives album I had in college, called "Wayfaring Stranger," but this is the tracklist from that album:
1        Wee Cooper o' Fife #                 
2        Riddle Song                 
3        Tam Pierce                 
4        Peter Gray                 
5        Darlin' Cory #                 
6        Leather-Winged Bat                 
7        Cotton-Eyed Joe                 
8        Sweet Betsy From Pike #                 
9        On Top Of Old Smokey #                 
10        I Know Where I'm Going #                 
11        I Know My Love                 
12        Cowboy's Lament #

So I'm thinking it was a cover by someone else - The Limeliters? Kingston Trio? - that was my first exposure to the song.   I guess it could have been another Ives recording, but I don't think I had any others.


Funny coincidence:   I hadn't thought about this song in months, maybe years. Then today I was doing room to room music at a convalescent home and one woman, whose name she told me is Phyllis, asked me to pick a song to sing for her. So I did this song for her. She'd never heard it but liked it a lot.
Then I come home and open the Mudcat forum and here's a thread about that very same song!