Synonyms for Lay (same or very similar meaning)
WordNet sense 1 (a narrative song with a recurrent refrain):
ballad
WordNet sense 2 (concerning those not members of the clergy):
secular, laic
WordNet sense 3 (not sacred or concerned with religion):
profane
WordNet sense 4 (not professional; not engaged in a profession or engaging in as a profession or for gain):
nonprofessional
WordNet sense 5 (put in a horizontal position):
repose, put down
WordNet sense 6 (put into a certain place or abstract location):
place, pose, position, put, set
From the ODE community, based on WordNet
add/edit