It's always easier to get someone to look up obits if youhave full date of death. I assume since you have month and year you probably got that from the SSDI. Be careful, that location is "last residence" which isn't always where they actually died.
Combine info from TX Dth Idx and SSDI:
Ruby Mae Prater, b 25 Nov 1906; d 6 Dec 1994 Dallas Co; last residence Dallas, Dallas Co, TX; SS card issued in TX.
You might try the Dallas Public Library, they have a great genealogy collection and surely have the Dallas newspapers on file, too.