The death certificate for Mary A (McEntire) Thomas indicates her parents are J.D. McEntire and Mary Shrader. It also indicates her place of birth as Giles County, Tenn.
I found a marriage record for a "Daniel J. Mc Intire" and "Mollie J. Shrader". The handwriting is legible enough to know that this isn't a mistake in indexing. The marriage record is about the right time-frame for the birth of the child, and it's also in Giles County, Tenn.
I have no idea how to proceed with researching how the names may have been garbled, etc. Any ideas?
Death Cert: "Texas Deaths, 1890-1976," database with images, FamilySearch(https://familysearch.org/ark:/61903/1:1:KS1Q-SL4 : 5 December 2014), J D Mc Entire in entry for Mary A Thomas, 30 Jan 1944; citing certificate number 70814, State Registrar Office, Austin; FHL microfilm 2,137,866.
Marriage Record: "Tennessee Marriages, 1796-1950," database, FamilySearch(https://familysearch.org/ark:/61903/1:1:XDQ3-KQH : 8 December 2014), Daniel J. Mc Intire and Mollie J. Shrader, 17 Sep 1873; citing Giles,Tennessee, reference ; FHL microfilm 968,829.