Hi Dave and Sandra,
Thanks for the comparison between East and West Riding...it gives me a lot to consider. I went ahead and posted a lookup request for the Flamborough area. Will see what happens. I'm not too hopeful since I believe a relative might have commissioned some research in that area a few years back and it did not reveal any Matthews. To tell you the truth, I can only find one documented birth of a Matthew Cockcroft for that time frame and it's the one in Illingworth.
Matthew just does not seem to be a family name for the Cockcrofts or the Pickles. The Matthew Cockcroft born in 1776 in York, that's listed on the Family Search database, is not sourced. It was placed on the database by another one of my relatives but it is based on an assumption of his approximate age at enlistment and the family legend that he was born in the York area.
The name of Matthew's first son in England is Jacob, which also does not seem to be a family name. His children in Ireland were named Robert, Matilda, and Jane.
I understand that Matthew and his children were involved in the lead mining industry. Is that more prevalent in the West Riding area? I believe he was considered a laborer but his daughter in Ireland supposedly married a miner, so he may have been working in the lead mines. Unfortunately, the daughter moved to the U.S. or Canada and was never heard from again.
Thanks again for your help...your perspectives on the Halifax area are extremely helpful!
Cindy