That's true. Tom Bliss also does a version, but here's mine.
This is a simplified version, just to get the basic chords.
As (D)I roved (G)out one (A)morning, it was (G)in the (A)month of (D)May
There (D)I be(G)held a (D)fair young maid a (G)gathering of sweet (A)may
I (G)asked of her to (D)bed with me, I'd (G)marry her by and (A)by
But (D)all the (G)answer she (A)gave to me was '(G)No my (A)love, not (D)I.'
For when (D)fishes (G)fly and (D)swallows die, (G)young men will prove (A)true
There's a (D)flower in my (G)father's (A)garden, and (G)some they (A)call it (D)rue.
I have to capo it right up the neck, but you can transpose it if you'd prefer.
Best of luck, lovely song.
Thanks for reminding me of it and to Mary and Anahata for bringing it to our attention.