It's $3,600 a month for care home. Money is dwindling fast.
In 2012, my mother broke her hip so I had to put her in a care home. My 88 year-old mother is using a walker and her vitals are good, but her dementia is getting worse. There are probably about 7 months of funds left. I work full time, but do not make enough money to help her out. I have a brother who pays for her physical therapy. (He lives several hundred miles away and can be verbally abusive to me and our mother.) My dad who passed away a few years ago was a packrat. I am still weeding, sorting, and selling his stuff. There is an irrevocable trust.
Now Medicaid is an "at-need" program, they must be able to show the "need" that is documentable. For NH Medicaid, they have to meet whatever your state has as it's limits for finances and then also they need to qualify medically. For medical, it must be that they need "skilled nursing services", so you want to make sure that mom's health care chart shows that. You may need to work with her doc to get this established too. I had to do this for my mom as she was coming from IL to a NH. Most NH admits are from a hospitalization to a rehab discharge to a NH, so those have the medical part soooooo much easier. For the financials, google your state Medicaid for NH to see what $ the limits are for her income and assets. It varies by state. Again, you really do want to spend-down as Jeanne suggested and then work back the money to get to the limits set by your state. Good luck.
But if Mother's dementia is getting worse, she may need more care than she is getting currently. In that case a nursing home might be a better option regardless of the finances.
One way or the other, it sounds like she is going to need Medicaid. One option for the remaining funds is not to use it all for the care home but to spend some of it on things Mother will need in the future. Once she is on Medicaid she will have a small personal allowance. It may be enough to get her hair done and send a few greeting cards but not much more. Therefore many people like to make sure the wardrobe is sufficient, they have extra pairs of shoes, perhaps get a deluxe wheelchair or a special chair, pay in advance for long magazine subscriptions, etc. That might mean she has fewer months left as self-pay in the care home, but is better equipped for the long haul. (The money must all be spent on herself -- she cannot give it to others or buy gifts.)
Discuss the "spend down" option with the attorney.