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1.
an older slang for friend, originating in New York, no relation to your baby's daddy.
"Checka Check it out! There it is baby paw! Huh!" - Charlie Brown from Leaders of the New School on "The Scenerio" by A Tribe Called Quest
by The Dirty Dutchman July 04, 2006
 
2.
Popularized by the early 90's rap scene, baby paw is a term of endearment used to address a friend or nigga.
"What up baby paw."
"You know, slangin rock and drinkin 40's like it wadn't nuddin'."
by Dana Chaffiotte April 10, 2009