Correcting my error above-
Wm. Chappell in PMOT give a 3/4 time major mode tune for the "We
sailed for Virginia" one, but I don't know where he got it.
The song and tune were given in 'The Vocal Enchantress', 1783,
with the tune as follows:
X:1
T:ADMIRAL BENBOW [WE SAILED TO VIRGINIA]
S:Vocal Enchantress, 1783
Q:1/4=120
L:1/4
M:C|
K:Ddor
A/|dd(^c/d/) (e/c/)|A2FA|c2Ae|g3(f/e/)|f(e/d/) (^c/d/) e/c/|\
A2FA|d3||(d/e/)|ffaa|g2(fe)|g (e/d/) (g/f/) (e/d/)|\
{d/}^c2zG|Adeg|f2 (f/d/) (d/^c/)|d2A^c|d3"Chorus"G|\
Adfg|f2 (f/e/) (d/^c/)|d2A^c|d3|]