No one here is going to be able to give you specific advice for your situation except "you need to keep trying to contact the attorneys to see if they will offer a payment plan".

Apart from that, how much equity is in the home? (That means the value of the home if you sold it yourself minus how much is left on the mortgage, if there is a mortgage.) Without anyone in the household earning a living wage, it may make more sense to sell the home yourself rather than have it sold by the county, and use the proceeds to pay off the mortgage/property tax, and if there's anything left over that can help with finding a place to rent.

Second steps will be that you (definitely) and your mother (if possible) need to be job hunting. If you are young and in ok physical shape, and not on drugs, you can easily make $16-20+/hr at a dozen or more national employers (USP, fedex, amazon come to mind) and be working in 1-2 weeks. Without knowing your mom's yearly income of course nothing useful can be said about that, but if she's $20k behind on taxes I'm guessing "mobile cat groomer" isn't really a job but rather a hobby, and she may need to look for a real, reliable income if she is able.