The 1935 Texas Longhorns football team was an American football team that represented the University of Texas (now known as the University of Texas at Austin) as a member of the Southwest Conference (SWC) during the 1935 college football season. In their second year under head coach Jack Chevigny, the Longhorns compiled an overall record of 4âÂÂ6, with a mark of 1âÂÂ5 in conference play, and finished tied for sixth in the SWC.