There are several websites that can help owners or those that find pets recover them. Here's just a few I found in the Lampasas area:
Lost My Doggie - Lost Dogs Near LAMPASAS, TX Lost Dogs in Texas - Fido Finder
Also, I wanted to mention that MANY of the rescue organizations will post an ad on their Pages...all you have to do is ask. Here's the list of rescues etc that I found:
Texas Rescue Shelters and Organizations
( I just cannot get the image of someone missing their pup from my head! OP, we're trying to help you find his owners.
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