Sounds correct to me.

Something else that I found interesting. Since William junior died before William Senior (1780 vs. 1781), it wasn't a surpise that in William senior's will that only Thomas, Peter, and Isabel were listed as children. When looking for all these children's baptism records, I couldn't find a Thomas born to William and Alice, but I did find a Charles. How do I sort that out?

Charles Thomas Corkill?

All in all though, I really appreciate your help and love your conlusions.