if I lived with a man for 4 years but never married although we both acknowledged each other as husband and wife and he is terminally ill now what are my rights as far as finances/possessions even though he has left his son powere of attorney?
Whether or not your relationship qualifies as an informal marriage depends on the facts of the relationship. (See Texas FamilyCode Section 2.401). Even if you were formally married, he would have the right to designate his son to act as his attorney in fact; it doesn't mean that the son gets to keep you out of your home or away from your possessions. If you were informally married, you'd have the same rights as if you were formally married.