Wait, that's completely false ! Provenance comes from the Latin "pro" (from) and "venire" (come), so that's where an item comes from, while Providence (capital P) is "the care and control of God or of a force that is not human in origin" according to Cambridge dictionary.
Apologies I didn't mean to suggest I was sharing the actual etymologies, it was only intended as an mnemonic for the commenter above! Thanks for sharing the actual roots though, no pun intended ;)