That is typical if an old shellac finish--after cleaning with mild soap and water, the old finish can be desolved with alcohal---look up 'french polish' a trip to the library might help---see if they still have a copy of 'The Furniture Doctor'---that old book had directions on emulsifying an old shellac finish.
As to the lifting veneer---you may be able to inject glue under it and clamp it back into place.
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