nap (n.1) Look up nap at Dictionary.com
"downy surface of cloth," mid-15c., from Middle Dutch or Middle Low German noppe "nap, tuft of wool," probably introduced by Flemish cloth-workers. Cognate with Old English hnoppian "to pluck," ahneopan "pluck off," Old Swedish niupa "to pinch," Gothic dis-hniupan "to tear."
nap (v.1) Look up nap at Dictionary.com
Old English hnappian "to doze, sleep lightly," of unknown origin, apparently related to Old High German hnaffezan, German dialectal nafzen, Norwegian napp. Related: Napped; napping.
nap (v.2) Look up nap at Dictionary.com
"to furnish with a nap, raise the nap of," 1610s, from nap (n.1).
nap (n.2) Look up nap at Dictionary.com
"short spell of sleep," c. 1300, from nap (v.). With take (v.) from c. 1400.