First National Bank-Central TX Address: 7500 Woodway Dr, Woodway, TX 76712 Phone: (254) 772-9330 Banks, Loans Other Businesses: Texas First State Bank at 101 Santa Fe Dr, Woodway, TX 76712 Synergy Bank at 7600 Woodway Dr, Woodway, TX 76712 BBVA Compass at 9103 Woodway Dr, Woodway, TX 76712 Independent Bank at 8004 Woodway Dr, Woodway, TX 76712