Chris, Think we have exchanged e-mails in the past, but at that time were not sure if we had a connection. I have information on William's ancestors, siblings, and others but I have nothing on his children. Have you tried to find someone on RAOGK who might see if their is an obit on Carrie that might give you some leads. I have done that and it has opened some doors for me, am in the process of writing for copies of obit on some other Lawler in Texas in hopes it will do the same.
I would love to have what information you have on Will's children and am willing to share anything I have on the Lawler's.