You didn't give a location or time frame, but I thought I'd try to find them anyway since the name Berdine is so unusual.
There's an Alabama death record for John Nelson TUCKER d. 31-May-1960, age 93, in Fort Payne, DeKalb Co, AL.His parents are listed as Berdine TUCKER and Sally HUMPHRY.
There's another AL death record for their son P. Ollie TUCKER d. 2-July-1932, age 54y8m, in Jamestown, Cherokee Co, AL.His parents are listed as Burdine TUCKER and Sallie HUMPHREYS.
There's a TN death record for Mary TUCKER DAVIS b. 10-Nov-1862 in Menlo, GA, d. 22-July-1941 in Chattanooga, Hamilton Co, TN.Spouse was Eligh E. DAVIS.Parents were Berdin TUCKER and Sarah HUMPHERY.
The 1880 census for Floyd Springs, Floyd Co, GA: TUCKER, Berdine age 49 b. GA, both parents b. GA wife Sarah age 40 b. GA, both parents b. GA dau Cornelia age 19 dau Mary age 18 son John age 15 dau Sallie age 13 dau Annie age 10 son William age 6 son Federic age 4 son Jesse age 3 dau Emma age 1 son Olly age 1