Have newer home, ceramic tile in bathroom, appears that some contractor left drops of dark wood stain on a few tiles, tried different things to remove it, tiles are a light brown and stain is black in color.
Are you sure this is ceramic tile and not a stone tile?
Try a little paint thinner or lacquer thinner on a Q-Tip and see if you can transfer any of the offending color to the Q-Tip.
If so...then make a poultice or buy a poultice and apply it to the spot. Cover it with a small piece of plastic wrap or plastic bag and tape down the edges of the plastic to hold the moisture in for a while.
Porcelain tiles can have microscopic pores in the surface that will hold on to stains such as this. There is a chance it can be removed or at the very least reduced considerably. Try the poultice for a few days.