Hi:
I wonder if Michael Cluin was Clune. That was a well-known Clare surname. Unfortunately, the late 1700s is too early for parish registers in County Clare. However, if you have other information about the children's years of birth, that would be very helpful. Let me know and I will see if I can help. You should also check out the Clare Library website at this link: http://www.clarelibrary.ie/eolas/coclare/genealogy/genealog.htm
All the best,
Jane