In Texas, there are hunting seasons throughout the year. In fact, you can hunt rabbits and hares year-round. Hunting seasons are determined based on the species of game, the arm you're using, the habitat, and the time of year. And each year, the dates may change slightly. To make sure you're hunting at the right time, check out the TPWD's online season finder before you go.
Check out these Farnsworth, TX Hunting resources: