The Living Force
No, this is an old spelling form of privy meaning private. See here: Privy Council of the United Kingdom - WikipediaAs English is not my native language, I have to ask is this "Priuie" here the same as the "Priory" in "Priory of Sion"? How common is this word actually in English speaking lands?
U > V is a common spelling transition from old Latin (or French, Italian and Spanish) into their modern versions.
So, no link whatsoever to Priory of Sion I wouln't think.