The 1959 Texas Southern Tigers football team was an American football team that represented Texas Southern University as a member of the Southwestern Athletic Conference (SWAC) during the 1959 college football season. Led by 11th-year head coach Alexander Durley, the Tigers compiled an overall record of 7âÂÂ3, with a mark of 5âÂÂ2 in conference play, and finished third in the SWAC.