I have a Franklin clone of a Singer 27 in a parlor cabinet (I think it's called that) where opening the top lifts the machine up and out via a cable. Mine was not lifting up the machine all the way, underneath the pan is a screw mechanism where the screw, a rather large one, has a slot in the head that locks it on the bar running front to back. When in the up position the machine can be lifted up such that there is no pressure on this screw so it can be adjusted.
Look for something similar?