Inside the streamlined cockpit the driver has to lie flat on his back with his head propped up to see out.
Times, Sunday Times
It must be on a flat floor, head propped up with a book or two.
The Sun
However, when they returned at about 10.30am 'he was lying behind the counter with his head propped up'.
Times, Sunday Times
His head propped on a pillow against the wall.
Times, Sunday Times
It was all he could do to keep his head propped up on the board.
Times, Sunday Times