Umm... it probably depends on your state's child labor laws. Some states won't allow you to work til you are 16. But some you can work at 15 if you get special permission. Also, it probably depends on the funeral home's size and need for something like that.
Unfotunately for you I think you have to be 16 or above to get a job like this, maybe even 18. Most places will also ask for experience as well (I'm finding that looking for a job atm). You never know though so it's always worth applying.