An antique turned Tagua nut  (vegetable ivory) chess set
Possibly made by F H Ayres or similar maker
In as found condition, damage includes - 
Purple - one pawn is missing 1/2 its base, glued repairs to one bishop, knights have damage to ears
White - one pawn has flaw to its base, king has a chip where the column meets the base, knights have damage to ears and one knight is held together with a wire going through the base.
The crowns on the two kings are slightly different with the white being a little taller
White King approx 7.2 cm tall
Please see photos