A vet will probably not be able to help, unless they are an avian vet. Most will tell you to set the baby outside and let nature take it's course.
Your best route is to contact a local wild bird rehab. Babies need to eat every 3-4 hours when that young. You can try a soft bill hand feeding formula from your local pet place, or this mixture works well:
1 jar beef baby food
Egg Yolk
1 tbsp orange juice
Mix it up, warm small portions to feed, put the rest in the fridge for keeping. I use a syringe to hand feed. Its very easy to aspirate young babies, so be careful. I would still try and find the nest and put the baby back. Its a big fat myth momma birds will not accept their young once they 'smell' a human on them. I have replaced many a fallen baby to find mama takes them back JUST fine.