Last night I found on the InterNet McGinty.html.These are a branch of the McGinty's in the United States.There are several references to Louisiana and Texas.I found two different results for Lawrence McGinty on the InterNet. There are four listed in the white pages. Three do not have a middle initial.The one in Midland Michigan is Lawrence Z. McGinty. Another Lawrence is in Marshall, VA. The third Lawrence is in Cleveland OH.The fourth is in Saint Louis. 5032 Potomac 63139 (314) 481-5290.
I researched the InterNet for Lilly, Lillie and Lillian McGinty.There was a Lillie McGinty who died in Crosby, Texas in 1993.She was born in 1909.There were three Lillian McGintys in the southern area. One died in 1989 at Greenwood, Arkansas. The second died in Dothan Alabama in 1994.The third died in Texas in 1991.
If you are convinced your Father was born in Louisiana, you should be able to contact Vital Statistics for the State.They should have a record.
If you have any questions about all this information, go to the public library,They can help you