Is the car running hot as indicated by temp gauge? It should read in the middle of gauge if operating correctly. If it is running hotter than that the cooler for tranny is inside bottom area of radiator. If engine overheats it could cause tranny to start puking fluid. There are also rubber lines that attach to the cooler and if they break fluid loss will result. When was fluid/ filter last changed? Also the differential is a separate unit ( for 3 speed auto) and the fluid needs to be drained and refilled. Can your nephew narrow down exactly where the leak is coming from and if it is refilled does it immediately start to leak again? Narrowing down location would help for a diagnosis. For a reputable repair shop here is link to national Better Business Bureau database. Use the link and local yellow pages from Tallahasse to check out each company and rating before making your choice of who to fix it. Good luck.
http://www.bbb.org/us/Find-Business-Reviews/
http://www.bbb.org/us/Find-Business-Reviews/