It is very unlikely that an animal shelter will employ a 14 year old. Due to contact with animals and the liability (you know if you get bitten or scratched) and what not, I would seriously doubt they would employ anyone under the age of 18. But you could call around.
2 Rider Place Freeport, NY 11520-4612 (516) 378-4340
not very likely that they will employ you but they might accept you as a vollenteer
Animal shelters dont really "hire people" they accept volunteers.