Rebecca Beard was 22 years old when she was last seen on March 1, 1986, at the Excalibur Club in Freeport. She was reported missing, and her case was classified as an endangered missing person case with possible foul play. A man named Paul Gayland Taylor was later convicted in connection with her murder and sentenced to life in prison, but Rebecca’s remains have never been recovered. There are also other unidentified-person cases from Brazoria County around that era, including remains found in 1980, but that appears to be a separate case and not Rebecca Beard. So: yes, Becky/Rebecca Beard is a real Brazoria County missing-person case — but it happened in 1986.
