You could ask the creepy person to write down a pseudonym for your family, but then again how would you know if they actually did it?
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I definitely share your concern about this and would seriously consider finding a different chapel if I were in your position.
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If someone at that chapel gets the Scary Flu you will be forced to quarantine, obviously.
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I have heard of the Novus Ordo even keeping track of who goes to confession for a similar reason. Just the thought ...
