draw (something) over (someone or something)
To cover someone or something with something. I drew a blanket over my head during all of the scary parts of the movie. We drew a sheet over the couch to keep it from getting damaged or stained in the move.
draw something over someone or something
to cover someone or something with something. She drew the blanket over the sleeping baby. Polly drew some plastic over her work and left for the day.