If my mother just died, father has alzheimers and house is still in his name? ?

You need to see an attorney that knows Texas Law. The laws differs from state to state. If you sold the home within 3 years of the date of applying for Medicaid in some States, the State would not pay until you spent the amount you got from the home. You also need to ask what rights you have as power of Attorney if your father has not been declared mentally unfit to conduct his business.