The name of Paris comes from the name of the gaulic tribe of the Parisii and the name of that tribe is supposed to come from the gaulic parioh, itself deriving from the indo-european reconstructed *kweryos meaning cauldron. But I really doubt this is the right explanation for the origin of the name of Paris.

Instead, I seriously wonder if it does not come from the vascon ibar. I am going to contact Elisabeth Hamel and Theo Vennemann in Munich about it.