Let me grab some alcohol to re-amalgamate this antique Internet thread from 2012, but this stuff does the trick, for sure.
I recently purchased a 1921 Sessions "American No. 1" mantel clock to go with my phonographs, and it arrived completely crushed in shipping. A quick refund for me, and a question of a restoration for the clock--before I reassembled the pieces I took denatured alcohol and let it flow over the flat surfaces, rubbing with my finger to swirl the old finish up into the solvent, and then wiped it off. A squilgee would have been handy for this, or an old credit card. I took fresh alcohol and did another light wipe-over as a rinse, which seemed to re-activate the shellac remaining. As this clock appeared to be mahogany (I am not certain, though; Sessions made a number of cheaper clocks) the finish had soaked well into the pores of the wood and ended up making a nice, smooth finish with a satin gloss shine.
This had me wondering why I'd had such bad luck with a vctrola I worked on, then I remembered--reamalgamating the victrola was done with it sitting upright on its four legs, because it was running & playing records while I was working on it as I am a lazy repairman. The thing I should've done was disassemble the machine & put it over on its side, then work with the alcohol directly over the wood where I would be able to move it around. If I'd had those skills then I would have built a nicer finish on my victrola, but hey. At least I had practice to learn the skills & the victrola still works.