Milam Co. was named for Benjamin Rush Milam, born in Frankfort, Kentucky. To my knowledge, he never set foot in Milam Co. Famous for Battle of San Antonio and was killed there. There would no relatives in this county to Ben Milam that we are aware of.. Now there is one lady in the County Tel. directory that had the name of Milam. She is Elizabeth J. Milam, 514 Evelyn St., Rockdale, TX 76567. 512 446-3224. Find none in other towns in Milam..