I wonder. The Cheshire Rounds that’s here already has similarities with the tune mentioned as Shropshire Rounds in William Chappell’s Popular Music of the Olden Time: they’re on the same page.
Since they also appear in Playford’s Dancing Master both tunes must go back to at least the 17th century.
Although they are supposed to be played very fast (according to Chappell) they are beautiful in a moderate tempo.
Added below Cheshire Round in a slightly revised version of Chappell’s arrangement. Try it in any combination of two instruments (from soprano and alto recorder to hurdy gurdy and electric guitar) and enjoy!
T: Cheshire Rounds
S: William Chappell - Popular Music of the Olden Time
|: f2 ef gf ed fg a2 | b2e4 d2 c2 A2 | f2 ef gf ed fg a2 | A2 d4 A2 F2 D2 :|]
|: B2 AB =cB AG F2 D2 | E2 e4 d2c2A2 | B2 AB =cB AG F2 E2 | D2d4 A2 F2 D2:|]
|: D4 C4 D2 F2 | G4 ^G4 A4 | D4 ^C4 B,4 | A,2 B,2 =C2 ^C2 D4 :|]
|: G4 F4 D4 | C4 B,4 A,4 | G4 E4 A,4 | D4 C4 D4 :|]
Close cousin to "rusty gully"? https://thesession.org/tunes/1208
X:3 “Cheshire Round”
A few other options for this one, primary variations in the last two bars of both parts, taking those extensions low and high ( D2- D2 / d2- d2 ) …