I've just seen this thread. I've been birding for years and I agree with 7rider it is not a barn swallow. A barn swallow will have a more orange color on the breast/throat and darker blue above - and certainly not any plumage streaking as seen in the photo. Swallows will have a more pronounced forked tail than most birds, so look for that.

I believe you have a house finch, which are quite ubiquitous and wide ranging. I have many purple finches at my feeder and they are more raspberry color with much less brown streaking than what I see in the photo. Also I believe that Texas not within the purple finch's breeding range however they may winter there.

Regardless, enjoy the new family.