Thanks, Donna,
The night before last I stumbled upon the following website, which has bits of information about people in Cleveland. She does not give sources, but I am judging since I found Frances Cain in Warrensville West Cemetery at Findagrave, that these Caine entries are also from Warrensville West.
>ht tp://webspace.webring.com/people/cu/um_10628/cemetery.html
The early William Caine and Christian Caine are William and his wife from Ballaskyr. She is Christian Caine nee Caine.
The other Caines are the family of William Caine and Frances Radcliffe.
I am guessing that these are from a reading of the cemetery several (30 to 40 or more) years ago, perhaps the records that are at the Shaker Historical Society.
Anyway it certainly confirms that both William and Frances Caine immigrated; along with (probably) all of their children. Also that the John Caine in Manhattan Kansas with Thomas Caine is not his brother, but probably a cousin.
Lois