We have begun a bathroom remodel project. All the studs were exposed by removing plaster, wood lath and old plastic tile. We began attempting to install the ceiling drywall first. We were able to drive 1-5/8" drywall screws partially in, just enough to get it up there, but we were totally unable to drive the heads down just below the surface. (The drywall is 5/8" thick).
I tried removing them and re-inserting, with no success. I suspect the studs are really hard old-growth wood, believing this house to be 100 years old. Our next attempt was predrilling, which may have worked but the required drill bit was not long enough to penetrate the wood completely. We were able to "sink" the screws, except for approximately 1/16", that protrudes above the drywall. I really don't want to use shorter screws or nails. The drill used was 3/32".
How can I drive the screws to the proper depth?