If KimC returns. There are versions with clock, which my wife (a spinner and weaver) tells me is possible. She has an antique winder with a "clicker" (indicates a length of yarn) which apparently has been called a "clock" by some weavers. She accepts rock- she has tried drop spindles. The Navajo have a version adapted from the Spanish, but few use it now. She has pottery ones used in pre-historic Peru. Also in the Google is a version with rack, which is also possible. My wife has one in addition to a reel and the clock, which is small (and used as an ornament). Rod is the only one which seems unlikely.

In addition to Buttermilk Hill, There are versions with Butternut Hill (butternut, a hardwood, was once used in American furniture), Beacon Hill and Putnam's Hill. As far as the age of these tunes, I can't find any evidence of Shule Agra versions in America before the Civil War although Irish were here from the late 1600s. The songs may have been here, but evidence? Would "Butter--- Hill" versions be associated more with the Centenary year 1876? Or even later?