Born in Dodge City, Kansas, Robinson received a B.A. from the University of Texas in 1948 and an LL.B. from the University of Texas School of Law in 1950. She was in private practice in Amarillo, Texas from 1950 to 1955. She was a judge on the County Court, Potter County, Texas from 1955 to 1958. She was a judge on the 108th District Court of Texas, Amarillo from 1961 to 1973. She was a Justice, Court of Civil Appeals, Seventh Supreme Judicial District of Texas from 1973 to 1979. She was a Chief justice from 1977 to 1979.