This is what Cathy's Jaeger looked like when we first got it.
The grease had dried out and hardened like a coat of paint.
The problem was one of softening the grease for removal but not
damaging the paint.
Waterless hand cleaner works quite well for the purpose. We would smear
on a layer and let it soak for a while, then wipe it off. The process was
repeated as often as necessary.
Warning: Waterless hand cleaners will soften some paints quite
readily. Do not leave them on for extended periods, such as overnight. If
you do, you may ruin what you're trying to save. We found this out the
sad way when a silk-screened trademark vanished while using hot water to
flush off the hand cleaner.