paume (Middle English) comes from Old French paulme, from Latin palma, from Proto-Italic pəlmā, from Proto-Indo-European pl̥h₂meh₂, from Proto-Indo-European plh₂m-, from Proto-Indo-European pelh₂-, from Proto-Indo-European pel- — to cover, to wrap; skin, hide, cloth; to fold.
Ancestry of “paume”, step by step
paume traces back through 3 separate lines of ancestry.