Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st pair goes cross hands round with the 2^d pair then back again & casts off, then the 1^st woman and the 1^st man leads up and sets to the 2^d pair then leads down and sets to the 3^d pair; then the 1st woman turns the 2^d man & sets to her partner, then turns the 3^d man and sets again to her partner who was doing the same on the woman's side: then reels at the sides, & falls into their places.

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st man turns 2^d woman & casts off, then the 1^st woman does the same then the 1^st pair goes figure of eight through the 2^d pair; then the 1^st man sets to the 2^d woman & turns her, then the 1^st woman the same; then the 1^st pair goes four hands round with the 2^d pair & right & left

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st man leads up the 3^d woman to the top & she casts off, then the 1^st woman does the same, then both 1^st and 3^d pair dances down the middle; & the 3^d pair turns each other round while the 1^st pair dances up again & casts off; then the 1^st pair leads down between the 3^d pair and casts up.

The Castle Menzies manuscript entitles this "He'll Aye Be Welcome Back Again".

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st man sets to the 2^d woman & turns her the 1^st woman does the same then the 1^st pair dances down two couple & up again (the woman going down the midle the man behind backs, & returning the contrary way) then casts off; then the 1^st man turns the 3^d woman, then his own partner half round, then turns the 2^d woman, the 1^st woman does the same on the man's side att the same time; then the 1^st pair leads out at the sides

The Castle Menzies manuscript entitles this "You'r Wellcome Charly Stuart".

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st pair sets to each other & casts off then the 2^d pair does the same then goes cross hands, back again & casts off, then sets cross, & reels att the sides

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st man goes figure eight round the 2^d man & the 3^d woman the 1^st woman does the same round the 2^d woman & 3^d man then the 1^st pair leads forward to the 2^d pair then leads up & casts off, then does the same below and casts up; then the 1^st woman goes round the 2^d man & turns her partner, who was doing the same round the 3^rd woman then she goes round the 2^d woman then the 1^st pair leads out att the sides

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

[1^st man] casts off & turns the 3^d woman then the 1^st woman the same, then cross hands above & below, the 1^st pair sets cross & reels at the sides.

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st man sets to the 2^d woman, & casts off, then the 1^st woman does the same, then the 1^st man turns the 3^d woman by the right hand & goes half round his partner, who was turning the 2^d man by the right hand then the 1^st man turns the 2^d woman by the left hand, while the 1^st woman turns the 3^d by the left hand; then the 1^st pair setts cross, & then to each other, & reels att the side.

The Register spells the sub-title "Will Ye Marry Kitty".

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st man sets to the 2^d woman & turns his partner with cross'd hands as in Jamaica then the 1^st woman sets to the 2^d man & then turns her own partner as above, then the 1^st pair casts down one couple & turns each other half round as before; then the 1^st woman goes round the 3^d woman & comes into her own place; the 1^st man does the same round the 3^d man at the same time

The only dance called Jamaica that I know is from Playford's 4th (and subsequent) editions of The Dancing Master, and it does indeed have a crossed hand turn.

The first man take his wo. by the right hand, then the left, ans so holding hands change places, then do the same to the 2. wo. ...

Note that in Jamaica, the turn is only half. From the comment here on the third turn I assume that is intended in this dance too — however, that leaves the 1s on the wrong sides, however the description, the 1^st woman goes round the 3^d woman & comes into her own place; the 1^st man does the same round the 3^d man at the same time sounds more like a half figure eight than it does like a lead down, and that would fix things.

Jamaica gives four bars for the half turn. Modern interpretations spend those four bars thus: 1 bar to take right hands, 1 bar to take left, 2 bars to turn half. In a strathspey you could achieve the same effect in half the number of bars.

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

The 1^st pair goes back to back & casts off then back to back again & 2^d woman casts up, & the man down, then reels above & below then the 1^st pair sets hand in hand to the 2^d woman then to the 3^d man then to the 3^d woman & then to the 2^d man; then leads out att the sides.

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st pair joins cross right hands & 1^st woman turns under her own right arm, then they join cross left hands & the 1^st man turns under his own left arm, then the 1^st pair leads down & up between the 2^d pair & casts off, then leads down between the 3^d pair & casts up, then goes the figure of eight, the man on the womans side & the woman on the man's side, (setting en passant to each other) & then foots it into their own places

The full title is "Couteraller's Rant a Strathspey Reel".

Quoted from The Register of Dances at Castle Menzies (as transcribed by Jim Healy):

1^st & 2^d women leads forward then falls back then leads through the 1^st & 2^d men; then repeats the same & the 1^st & 2^d man leads through them back to their places again; then the 1^st pair crosses over two pair down, & crosses up one pair & falls into their places then the 1^st man leads the 2^d & 3^d man forward, while the 1^st woman does the same on the woman's side, then the 1^st man turns the 3^d woman & falls in between her & the 2^d woman, the 1^st woman in the meantime turns the 2^d man & falls in between him & 3^d man & leads forward as before & turns his partner, then they go six hands round with the 2^d and 3^d pair then back again to their own places.

Note: There is a Playford tune and dance with this name from 1652, which is an 4 bar slip jig. This is not it.