Contact Us Burleson Animal Emergency Hospital 12600 South FwyBurleson, TX 76028 (817) 900-2000 | Open 24/7/365 – No appointment needed. Get Directions We are at exit 39 on I-35W. The hospital is in the 'McAlister Square' retail complex, between Baylor and Academy. If traveling on I-35W, take exit 39 the "Rendon-Crowley Rd." exit onto the service road. We are 1/4 mile on the right, just past Baylor.