You did not include any dates, or approximate dates, in your query.It is hard to do much without any dates of some kind.I did play around with some of the names, and think I found one of your cousins, and parents.Note, father's SS card may have been issued in W VA, and last residence in Abilene.
TX Birth Idx Online:
Vernon Roy Weese, b 8-14-1947 in Howard Co, TX - mth, Frances Lucille Brown - fth, Alfred Vernon Weese.
Combined info from TX Dth Idx Online and SSDI:
Alfred V. Weese, b 18 Feb 1922, d 2-14-1981 in Howard Co, TX, last residence Abilene, Taylor Co, TX, SS card issued in either NC or W VA.