Racism, compensation and me

The above image is a 19th-century map of Jamaica superimposed onto google maps. The dots are slave-holding estates. One was owned by Abraham Anthony who kept between four and 16 slaves on his unnamed estate in St Catherines, Jamaica. Someone who shared my surname, and is therefore a very distant relative, profited from racism. Any latent hopes that I could separate myself from the wrongs of our colonial past evaporated with that fact. But to what extent can any British people avoid responsibility for such crimes?