There was a John Pinkney Tidmore (1858-1923) married to Emma Vann Coker (1865-1949) who moved with his family to Texas in the late 1800s. They were married in 1882 in DeKalb Co., AL. Four of their nine children (born between 1883 and 1901) were born in Texas. All but two of their children remained in Texas. The other two moved to Oklahoma. John and Emma had a son named Pink Sterling Tidmore who married Emma Kate Archer.
Could one of these be the Pink Tidmore you are asking about?