If you read his post he can't seem to get many of them to even help out watching her, I doubt money to pay for a nursing home is going to be easy to get them to agree to.
Call all relatives that should be involved, let them know you want to have a meeting with the entire family, make it 2 weeks out on a weekend so that everyone has ample time to schedule, when you call them get them to commit to the date, then call them 2 days before to remind them again, make it clear to them that you are a 20 year old college student who stepped up to do something they should have been doing. In your meeting ask them point blank who is going to help out, if they state they won't then ask them to leave right then and let them know they shouldn't expect to hear from you again and they are cut off, if family won't step up you don't need to waste time on them. Doing it in a group meeting also puts them on the spot in front of the rest of the family. After getting them to commit get a schedule set so that everyone knows when they will be expected. Put it in writing and make sure everyone has a copy. If they just commit but don't follow through then cut them off, make sure you cut them off in a way that everyone else knows they failed in their duty to the family. If they can't make it a day they should be there make sure they know it is up to them to get it covered. It has become like a job to you so the best thing to do is treat it that way so expectations are clear and the ones that don't want to help out the family, they get fired. Even if no one steps up and you end up doing the same amount of work at least you will have put it all out in front of them. Others mentioned a nursing home, it may work out that the relatives that are better off may just volunteer to help out with a nurse or caregiver rather than taking the timeout to do it themselves. What ever help you get to take some pressure off of you. Don't put it off though, you don't have much time before next semester starts and you don't want it hanging out there.
It's really expensive, but it's definitely possible for the right family to be able to afford splitting that cost, especially if they can't really split their time.
My aunt apparently likes me a lot. She tries to take me to places, buy me things, etc. My uncle not so much but we mostly talk sports but its a rare thing.
is that like a nursing home type of thing if they deem it necessary to take care of her because if so my family (mainly my mom) does not believe in nursing homes.
mom doesnt believe in them. Old people tend to be treated as crap in those places and if family is still around they should be able to help.
Not just a nursing home, they also provide aids that come to the house and help out, that's why it's important to schedule a meeting in wishing they will provide details of different options.
This would be a lot easier with a little more information. If this is your grandmother/grandfather (their mother/father) it is their responsibility, if it is your father, (their brother) I think it's you, your mother and brother/sisters to handle. Either way if you do this alone, they will let you, if you back off, they will have to step in.