Banks in Woodson, Texas, the US. Banks locations in Woodson, Texas. Find the nearest banks locations, near you. All types of business services ATM Bank Finance Insurance School All banks in Woodson Closed now Until 09:00 am First State Bank ATM Finance Bank +1 940-345-6511 101 U.S. 183, Woodson, Texas 76491 Write a review Phone Hours Website Directions