I have skimmed over the past few comments and i just wanted to give my opinion. As a black person of African parentage, I would find these dolls offensive. As one of the other posters said, they refer back to the days of the minstrels which were there to make fun of the black people back in the day.
I would NEVER give any doll to my child that offends another people, be it women, black, white, large, skinny, etc. And if my child was in posession of such a toy, i would get rid of it. Even if my mother in law gave it to me.
Of course, children are innocent in these matters, but as they get older, the questions will come and they need to know that these "toys" are offensive to a certain group of people.
At the end of the day, it is our job as parents to guide our children as best we can. Personally i think its a sad state of affairs that the original poster was "annoyed". Id be shocked and upset, especially in this day and age. Im not here to say what is right and what is wrong and of course, we all have the free will to do as we please with regards to our children.