Does Medicare pay for live in caregiving?

No, Medicare does not pay for any type of caregiver. Its a health insurance.

Sounds to me you feel guilty for Mom being in a NH. Being a double amputee I will assume she is a diabetic so her health is not your fault. I think Mom is much better where she is. Diabetes can be very hard to regulate. Wounds don't heal in the legs because there is no circulation. They need to be cared for by a special woundcare nurse who can see a problem before it gets worse.

Just be there for Mom. Don't be down, be up.

You must consider if you would even be able to lift her or roll her for basic daily personal needs. Many a nurse has blown out their back in their careers by moving immobile people. Would you need a wheel-chair van? Is your house ADA accessible? Who would be your sub when you take regular breaks or went on vacation or got sick? Also, in the right facility she will have much more social interaction and participate in events. My MIL's LTC place has a church service and bible studies in-house, takes her on field trips and even has it's own pontoon for fishing excursions. They have therapy pets visit, musicians, etc. She enjoys talking with the staff. And it's not even a "fancy" or expensive place. She would NEVER get any of that in our home because we wouldn't be able to provide it and if we even could it would be such a strenuous undertaking it would burn us out in no time. Please try to think about it outside of your emotions, because emotions aren't objective facts, they are internal and subjective and tend to skew our thinking from reason and logic and good decision-making. I wish you much wisdom and peace in your heart.

No Medicare does not. Are you thinking of bringing your mother home out of the nursing home? A double amputee, as you describe her in your profile, might be too much for you to handle. Did Adult Protective Services step in before? Perhaps you should leave her where she is now. If you are upset maybe some counseling would help you out,