Find churches catholic in Surrounding Cycles, Midland, TX on Yellowbook. Get reviews and contact details for each business including videos, opening hours and more. ... St. Elizabeth Ann Seton Catholic Church. 7601 N Grandview Ave. Odessa, TX 79765-3401 (432) 367-4657. Website;. Our Mission Statement. St. Ann's Roman Catholic Church was established in 1906 as a spiritual home for people from diverse ethnic backgrounds. The tradition of making the Annual Novena of Nine Masses leading up to July 26th to honour the feast day of the patron of the church, St. Ann, was quickly established and continues to this day.