Goolsby is a surname. Notable people with the surname include:

Mike Goolsby (born 1982), American football player Ray Goolsby (1919–1999), baseball player Tony Goolsby (born 1933), a businessman and former member of the Texas House of Representatives Katherine Goolsby (born 1981), American speech-language pathologist and expert on beagles. Denzel Goolsby (born 1997), a former D1 defensive back for the Kansas State wildcats.

Fictional characters Dustin Goolsby, a character on the American television program Glee