Hi Churck, I found an Annie F. Anders in 1930 in Precinct 1, Dawson Co., TX. Wilburn Anders, head household, b. MO, 40, marr @ 24, farmer. Walcie L., wife, b. Ok, 34, marr @ 17. Thelma M., b. OK, 12. John D., b. OK, 11. Albert, b. OK, 10. Lee A., b. OK, 8. Annie F., b. OK, 4 9/12ths. Elzie, son, b. OK, 2 8/12ths.
I found Anna Faye Anders in the California Death Index with a death date of 7 Oct 1940, Tulare Co., CA.
I'd contact the Sequoia Genealogical Society, rootsweb.ancestry.com/~casgs/ObituaryIndex.htm for a copy of her obituary.
OR Random Acts Genealogical Kindness, raogk.org, choose California, choose Tulare Co., and choose one volunteer.
Her death certificate might have more information too. Successful Searching!