wrap (n.)

late 15c., "fine cloth used as a cover or wrapping for bread," from wrap (v.). As a type of women's garment, recorded from 1827. Meaning "plastic film or cellophane used as a wrap" is from 1930. Meaning "end of a filming session" is attested from 1970. Meaning "sandwich material folded up in flour tortilla" is by 1998. Figurative phrase under wraps "in concealment" is recorded from 1939.

wrap (v.)

early 14c., wrappen, "to wind (something around something else), cover (something), conceal; bind up, swaddle; fold (something) up or back on itself," of uncertain origin, perhaps via Scandinavian (compare Danish dialectal vravle "to wind"), from PIE *werp- "to turn, wind," from root *wer- (2) "to turn, bend." Or perhaps a variant of lap (v.2). To wrap up "put an end to" is from 1926. Related: Wrapped; wrapping. Wrapping paper is from 1715.