Confused and Hurt Sibling

I am one of four living siblings . My mother has been in and out of the therapy unit and now is having issues with dementia as well.

She has her own condo, of which one sibling , spouse and child have taken over because neither working , because of depression, whatever not working and living with mom.

Other brother lives an hour away. One lives nearby.
Mom got sick and I asked my older brother to go get some power of attorneys well, without any discussion, he did but he put himself as power of attorney, my other brother as his alternate, my sister and himself as medical and me as nothing.

She needs a guardian and I said okay I will be the guardian. Basically, let me know they don't want me on the paperwork.

Interestingly enough, I am the only one working, with a business, and job. One is retired and has no money to even cover the gas to come and visit. The other has no job. The other has no jobs her or her spouse, won't go to the doctor, ... get a part time job, but is going to care for my mom.

I feel that geez, I am good enough to go to the doctor, take my mother out ... deal with the social workers, go up there when called and she is all stressed out... but not good enough to be on the paper work?

All of them are broke and have gone bankrupt, at lease once, some twice. and I am working stable , my husband works. Also offered to bring mother here and hire help if she sold her condo.

What is wrong with this picture, am I crazy to think they are after her money what little she has?

I am not doing a thing or lifting a finger again. They can have at it. IF I am not good enough for a guardian, then I am not good enough for anything else.. I will go visit my mom and that is it. I should be happy..... so why do I feel so bad?