...and I've done the Google thing too! no luck. I'm familiar with a lot of the old Southern gospels and hymns, but this one doesn't ring a bell. I don't think it will be in a hymnbook. I have a few gospel songbooks to look in...do you have a tune? Also, where are you from? Many of the old songs are unique to the South, or the mountains, etc. I suspect it will turn up in an old music book at a yard sale, church basement or estate sale.
Barbara - I don't think it's "In the Garden" although that word "tarry" is in it.
I'll keep an ear out and mention it to some of my "old time gospel" friends. In the meantime, don't forget to check back here.