Hi Mary,

I found the William Cumming baptism in Eccles and the Christian Donaldson one in Ayton but you are right, there didn't seem to be any Cumming entries in Ayton on the Hugh Wallis site.
I am still searching for their marriage, though I suspect it may have been in Newcastle upon Tyne.
I am going to post a summary later as a new thread, to see if it rings any bells anywhere.