I would not ask any formal permission from parents and family because I feel it is the person I am proposing to that has that right to make the decision whether she wants to marry me or not.
If I were to ask parents as a gesture of good will, then I would ask both parents if possible, not just the father. In my situation unfortunately that is not possible, so it would be just her Mother and possibly her two sons. But to be honest I think I would just propose without checking with family because I feel it is our decision.