Thank you, JRS, Therm and Starling for your input!
I actually did search online (911Parrots, kijiji, craigslist, and a few other sites that popped up on Google) and looked to the local humane society for lost budgies in my boyfriend's area and neighbouring cities (we live in different cities). It's a little tough because my bf lives on the border between two cities.
This was during the first week and a half that the budgie was found, as well as yesterday for new reports. There weren't any reports of lost budgies (many cockatiels though...) in the two cities he lives by, nor road intersection. I scouted for lost bird posters last time I was in his area, but I only saw lost dog posters.
It definitely would have been better if his family looked for the owner since they know the area better than I. I'll still be on the lookout for lost budgie reports; meanwhile spending money for animals isn't too big a deal to me as long as it keeps them safe and happy.