You didn't give any dates, or approximate dates, in your query.So, why don't we begin with the known facts.When and where was Nancy Dawson born?When and where did she die?Was it after 1903?TX began keeping state wide vital records in 1903.If so, do you have a copy of her death certificate?It should show the names of her parents.
With a little more info we might track down some of these people, for instance, is the following your Daniel?
Combined info from TX Dth Idx 1964-1998 and SSDI:
Daniel Raymond Gardner, b 14 Feb 1904; d 17 Feb 1968 Jefferson Co, TX; last residence Beaumont, Jefferson Co, TX; SS card issued in TX.
Daniel Raymond Gardner and Elise Neal Haberle had at least 3 sons in Jefferson Co, TX.