I found 1 food banks in Dallas:
North Texas Food Bank (NTFB)
4500 S. Cockrell Hill Road
(214) 330-1396 Main Mon - Fri 8:00am - 5:00pm
However, if food pantries would work for you too, you'll find a lot more possibilities if you visit this page:
http://refersoftware.com/ccgd/MatchL...
Check out this website as it can point you to a food bank in your area.
Call one of the church's there they will know where they are located.