All Catholic churches that fall under the umbrella of the Catholic Church are owned by the Bishop of the Diocese, or his successor in office. The property is owned by the person holding the office. Not even the Diocese owns the property.
The only vote you have in the church is with your checkbook.
That's not accurate. First of all, there are overlapping jurisdictions, so a parish could be, e.g., Easterm Rite or Anglican Use and have no relationship except that of cordiality with the local Latin Rite bishop.
Second, while IANAL, I understand that in most cases in the US, the diocese is essentially a sole proprietorship-with-right-of-succession. It is a corporation, and its properties, including parish physical plants, are owned by the corporation.
This is not required by canon law, and in fact a lot of dioceses are getting away from it. (It's fundamentally unfair that the pastor at St. Goofus tolerated a child-abusing subordinate, and the people at St. Aloysius down the street end up paying for it. It's penalizing people who didn't even have an incidental relationship to the crime.)
What is required is for a (Latin Rite) parish to be in union with the bishop, and that would include accepting the priests he sends them. We're not Congregationalists.