Since you show only month and year of death, I assume you saw that on the SSDI. I suggest you look for an obituary for Lloyd, he died 9 Aug 1972 (TX Dth Idx). Survivors are usually listed, and you might learn at least the given name of his wife, if she survived him.
If you need his parents, you can obtain a copy of the application he filled out for his Soc Sec card, it should show the names of his parents, his residence at the time of his application and other data, too.
1930 census Harris Co, TX:
Boudreaux, Lloyd L., h, 33 md 1st time @ 17, b LA, LA, LA " Rachel, w, 22, md 1st time @ 15, b TX, TX, TX
1920 census Jefferson Co, TX:
Boudreaux, Loyd[sic], h, 22, md, b LA, U.S., U.S. " Jewel, w, 20, md, b TX, TX, TX " Norman, s, 3, b TX
Don't know if this is your gal, on TX Dth Idx. She doesn't seem to show up on SSDI.
Boudreaux, Rachel David, d 6 Jan 1982 Harris Co, TX.