Hi Ray,
Have you got any pictures of the damage, and an over all picture of the type of mahogany table , that you could put up ?
You have a better chance of a reply that way,
Does the table have its original finish?
Or has it been restored at some stage in the past ?
And like NZStu said, have you any polishing experience?
If you have a table with an original patina of years of use that has a nice shine ,you could have a chance of touching it up.
If it has been restored with a high shine,You would have to sort the dark stain out. possibly bleach ,then touch it up with colour,level up the thickness of the shellac , and re finish to match.
It takes between five to ten years of learning how, to start to become good at that.
It may be an easy fix though Ray

cant tell without seeing it though.
Rob.