Robbie,
I am also looking for Lawler in Tx, Have been for quite a while but so far have found nothing.
Saw your message so thought i would give it a try.
My Lawler's are as follows
J. E. Lawler was the father. wife was called Necie
childen
Bessie Lee b 8 May 1887 married Samuel Robert Leamon my Parents.
Ada Marjorie b 21 Aug 1901 married John Pruitt
Jack
If this fits in with any of your research, let me know