About Minnie Hamilton Health System. Minnie Hamilton Health System is a group practice with 1 location. ... Minnie Hamilton Health System Office Locations. Minnie Hamilton Health System. 921 Mineral Rd Ste 101 Glenville, WV 26351 (304) 462-7322. Monday : 7:30 AM - 6:00 PM: Tuesday : 7:30 AM - 6:00 PM: Wednesday : 7:30 AM - 6:00 PM: Thursday : 7 ....