No there was no black female run for President.
Sure . As long as she meets the qualifications to run fot the Office.
Anyone can run for president
John Birks "Dizzy" Gillespie was the first black person to run for president back in 1964.
There have been no female presidents as of yet, but there have been women who have run for president.
The US has never elected a female president or even had a major party candidate who was female. Two women have run for vice-president but neither was elected.
cos hes black
Victoria Claflin Woodhull
Hillary Clinton
Shirley Chisholm
The first U.S. President to have a female opponent was Ulysses S. Grant. Victoria Woodhull ran in the election of 1872, becoming the first woman to run for president.
I believe the first female to run for president (and get anywhere) was Hillary Clinton. Senator Obama beat her, so I think that is what you are trying to find out.
As of 2012 it's far too early to make any substantial guesses, but some people suspect that Hilary Clinton may run again.