Dear Torie,
"In short, they were the landlord offering up the place rent free with utilities paid."
Well, if they saw it that way, then they'd kind of ceased being a Catholic parish some time ago. That isn't how it works.
"Can Burke bounce a priest who is not hired by his archdiocese?"
It isn't likely that a priest in good standing with the Catholic Church will agree to come say Mass or otherwise provide sacraments, as the moment he does, he becomes liable to cease being a priest in good standing with the Catholic Church. At least as far as the folks who actually run the Catholic Church are concerned.
Specifically, Archbishop Burke could order any Catholic priest to refrain from providing the sacraments to this organization. As well, offering the sacraments knowingly to persons under interdict would itself be a serious violation of Canon Law.
Ultimately, failure to abide by the instructions of the ordinary could lead to the priest's excommunication and laicization.
However, the folks at St. Stan's have already tipped their hat. They will go outside the Church to get their priest. They've as much said so on their website.
Really sad.
sitetest
No they want to find RC priests not under the thumb of Burke. You are saying that Burke has jurisdiction over any priest delivering the mass within his territory no matter who they are, affiliated with, or from where. If so, and he exercises that authority, and stops it, then yes, the church will cease to conduct RC services. If you are right, I wonder if the Board is aware of the exclusive territorial rule.