Here are the tunes from Simpson and Chappell. I've transposed them all to D for comparison and altered the Chappell tunes slightly (removed chords and adjusted melody in a few places to fit the words properly).

Mick

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X: 1
T:Room For Company
M:3/4
L:1/4
S:Claude M Simpson: The English Broadside Ballad And Its Music
K:D % transposed from F
d2 A|F> G A|f e d|e/d/ c/B/ A|
d2 A|F> G A|f e d|d3:|
|:f e d|e/f/ e d|f e d|e/d/ c/B/ c|
d2 A|F> G A|f e> d|d3 :]

X: 2
T:Hunting The Hare (1)
M:6/8
L:1/8
S:William Chapell:Popular Music Of The Olden Time
K:D % transposed from C
"^Smoothly, and in moderate time"d A FGA|fed ec
w:Pan leave pip-ing the Gods have done feast-ing
A|d2 A FGA|fe>d d3|
w:There's never a God-dess a hunt-ing to-day
d2 A FGA|fed ec
w:Mor-tals mar-vel at Co-ri-don's jest-ing
A|d2 A FGA|fe>d d2
w:That gives them assist-ance to en-ter-tain May
d|fed efd|fed ec
w:The lads and the lass-es with scarves on their fa-ces
A|d2 A FGA|fe>d d3|
w:So lively time pass-es trip ov-er the downs
fed efd|fed ecA|
w:Much mirth and sport they make run-ing at Bar-ley-break
ddA FGA|fe>d d3|]
w:Good lack what pains they take for a green gown.

X: 3
T:Hunting The Hare (2)
M:6/8
L:1/8
S:William Chapell:Popular Music Of The Olden Time
K:D % transposed from C
"^Fast"d2 D FGA|Bed cBc|
w:Songs of shep-herds and rus-ti-cal roun-de-lays
d2 D FGA|Bec d3|
w:Form'd of fan-cies and whist-led on reeds
d2 D FGA|Bed cBc|
w:Sung to sol-ace young nymphs up-on ho-li-days
d>DD FGA|Bec d3||
w:Are too un-wor-thy for won-der-ful deeds
fed fed|fed fe
w:Sot-tish Si-len-us to Phoe-bus the gen-ius
d|ecd ecd|egf e3|
w:Was sent by dame Ven-us a song to pre-pare
d2 D FGA|Bed cBc|
w:In phrase nice-ly coin'd And in verse quite refin'd
d2 D FGA|Bec d3|]
w:How the state div-ine hun-ted the hare.