The version known as Handsome Harry was printed on American broadsides and in the Forget-Me-Not Songster, which went through several editions between the 1840s-1870s (not seen).
Belden and Hudson, in Brown vol. II, give an incomplete version with some corrections taken from the Songster. This version coll. Colington, NC.

Handsome Harry
1
Come all you loyal-hearted lovers,
Come and listen unto me.
Unto you I will discover
A most doleful purgary.(1)
(1) doleful perjury
2
It was of a sailor such delighted(2)
Pretty fair maidens to betray.
When he gained their love he slighted
And to another took his way.
(2) who much delighted
3
Handsome Harry he was called;
In Southhampton did dwell.
To the Betsey ship most famous
He belonged, 'tis full well to know.(3)
(3) 'tis known full well
4
Among the rest of them he courted
Kate and Ruth he did betray.(4)
When he gained their love, he slighted
And with them he would not stay.(5)
(4) beguile (5) Both of them were big with child
5
Both did think to have young Harry,
Which he promised on his life;
Both of them he thought to marry,(6)
But at length made Kate his wife.
(6) Each of them thought he would marry
6
Ruth she heard it, fell to weeping,
Crying out in bitter woe,
'Is this your promise keeping,
A fair maid to ruin so?'
7
Reachedly with her own garter(7)
Hung the self in a tree;(8)
And in a few days after
Two men a-hunting did her see.
(7) So wretchedly (8) She hung herself upon a tree
8
They stood amazed gazing on her
While the dogs did howl and roar.
At the sight they were much surprised;
The ravenous birds her flesh had torn.
9
They took her down in great pity,
Wondering what the cause might be;
And they found a note about her,
It was: 'Let no man bury me.
10
'But on this earth just let me perish,(9)
To all maids a warning be:
Have a care of all false lovers
Or be ruined soon like me.
(9) But above ground
11
'They will come in false pretense,
Swearing they love none but you;
All the time they are false-hearted,
Seeking whom they may .....(10)
(10) may undo
12
'After they have gained your love (11)
You are nothing but low infidels. (11)
You may repent at your leisure
Or like me go hang yourselves.'
(11)When they've gained your virgin treasure
You are whores and infidels.

No. 68, pp. 250-251, 1952, H. M. Belden and A. P. Hudson, Folk Ballads from North Carolina. Vol. 2, Frank C. Brown Collection of North Carolina Folklore. Duke Univ. Press.