Hmm, I've never encountered this problem before... could you go into greater detail? Anything else that could help me help you?

I'm not following.... He doesn't want to go to school, but he wants to go to school 60 miles away? Is it some sorta specialized school or am I missing something completely?

He just does want to go to the school in his town "because everyone's stupid"

So it's a "grass is greener over there" ideal -.-
*sigh* kids

Maybe there's some issues with other people there he'd rather avoid and feels awkward speaking about?

Gotta agree with Cyneric - this sounds exactly like I did when I was frustrated with the bullying I went through during school.... and, well, also because I felt I wasn't actually learning anything useful. (The majority of book reports and homework outside of mathematics was just regurgitating what we were told in the book / textbook... but the math I was learning was advanced and wouldn't and isn't applied to daily life, and I never wanted to take it in the first place.)

So, maybe you should talk to him? Get in contact with him and talk to him if you can. Maybe he's being bullied and just wants to leave so he doesn't have to deal with it - or maybe it's something worse like the teachers contributing to that (happened to me), or he doesn't think the teachers are doing a good job teaching, or he's struggling with the work but doesn't want to ask for extra help, etc. The problem is probably deeper than "he's lazy and doesn't want to go to school".

About your mom, the best you can do probably is hold close contact. Idk, a phonecall a day, staying in contact through textmessages. From the experience with my own mother I can tell that would help her. Maybe with yours it's similar. She probably doesn't feel much different than you, too.
About you brother I can't really give you any good advise. My younger brother is pretty similar there and I still can't really get to handle that well. I don't know how you've handled it so far, but don't work against him, only with him. Rather encourage him when he is doing something for the better than telling him off for not doing so.
Dunno though how to get him to school like this then. Guess you've tried appeal to his rationality? He doesn't need to like it, just hang in there till it's over. Maybe getting him something that makes it easier for him?
Idk. Hope this helps a bit? However, I wish you much success with your brother.

I am an example of what is going on with your brother. The best thing to do is to kick him out ( but have a place lined up for him to live at with roommate/mates) or make him have to get a job pay bills and rent. And have him tested for aspergers ( it can cause social disorders) . Basically force him to deal with what adults have to deal with. That should teach him how good he has it. Or have some one from the family beat some sense into him. That some times works. : / other then that not much u can do. : /

I'm in a similar situation with my father who is getting on in years and not the sort of man to accept help from anyone. I've offered my home to him, but he won't "put that on me." So I wind up just, calling him periodically to make sure he's all right, and to tell him that I love him.

The best thing you can do is ensure that your mother knows that you care, and that you'll help if you can.

Bear in mind whatever ELSE I say is based on a crucial lack of information, but since everyone has assholes and opinions, here's mine (opinion, not asshole in this case):

As for your brother... unless he has mental issues, which given your description I suspect that he may, he's just being a sixteen year old shit show, and it sounds more than anything like he needs to get the snot beat out of him a time or two. I would venture a further guess that something happened at his local school that has deeply shamed him and he doesn't want to face whatever that is. He might be the subject of bullying or may have committed some social faux paus that makes him a target of ridicule. Assuming an absolute refusal to go to school, the police may be necessary to keep him from truancy.

Whatever the case may be, giving your brother wall-to-wall counseling is probably not the sort of help you're prepared to give or that anyone in your family would ask you for.

Do what you can for your mom. Hopefully your brother will realize he has a larger world to deal with, and will man up to his responsibilities before it's too late.