Yes, the two texts are very close.
I'll flag up the differences.

1
Jamie Randal went a hunting
a hunting in the dark....
3
We came unto her....
7.2
to her uncle she appear'd....
let Jamie Randal go free.
9
All the Maidens in the country,
they are all very glad,
That this beautiful; this lovely,
this fair one was dead.
10
She was the flower of all the nation,
the flower of Colrain;
The flower of all the nation
was sweet Mally Bann
11
When the fair Maids in the city,
were assembled in a row,
She appeared amongst them
like a mountain of snow.
12
The flower of all the nation,
the flower of Colrain
The flower of all the nation
was sweet Mally Bann.

BL 11606 aa 23 (24) J & M Robertson, Glasgow, 1799. Item 2 on garland.