moderate tempo duple - March of St. Timothy or something like it?
four couple longwqys, start in fours?

Question: Does the progression (which in each half of the four-couple longways
pushes the end couples two places, middles 1 place) actually work, or are you
stuck with the same one other couple the whole time?

Answer: You dance in every position and you see everybody enough

Mug of Brown Ale?  Sean Ryan's jig?  Jamie Allen?  28th of January? Sailor's Wife?
Fair Jenny's Jig? Scollay's Reel? Camp Pleasant Jig?  Banks of the Allan?
"Up the River" is nice and not as overdone.  "Miller's Maggot" has a hypnotic quality.
"Doon the Brae" would work.  "Ducks on thePond".



IN END FOURS
1-2: Balance the ring
3-4: Circle left halfway
5-6: Balance the ring
7-8: partners California Twirl; in middle face new people.

IN MIDDLE FOUR
1-2: BTR
3-4: CL halfway
5-6: BTR
7-8: California twirl

IN END FOURS

1-4: ends backing, gate middles all the way around, launching into

MIDDLE FOUR
5-8: r brisk changes of a a circular hey, starting partner


END FOURS

1-4: Mirror back to back, middles through ends

5-8: partners turn two hands 1.5

Perhaps called "Back on the Horse" or "Through the Looking Glass"