"Laity" derives from the Greek "laikos"

Etymology of “laity”

The word laity (the body of religious worshipers, as distinguished from the clergy), comes from the French laite from the late Latin laicus, which is a transliteration of the Greek laikos (of the people; λαϊκός) from laos (people; λαός).

From the same root:
Lay, layman

In Greek
a) laos: people [λαός]__b) laikos: of the people, folk, vulgar [λαϊκός]

More: http://ewonago.blogspot.com/ [English Words of no Apparent Greek Origin]