If you “can’t probate the will” that left you the house, then the house isn’t yours. In some circumstances, you can establish title by living in a place and paying taxes, which is called adverse possession. That is a risky way to try to establish title, and you would probably have to bring suit after the time period to clarify title. I’d say, it is highly likely that a better use of your money is to use it to be make a down payment on a new home. I definitely wouldn’t pay any more taxes without consulting an attorney.