In a new interview with EBONY Magazine, Berry says (via TMZ), "I feel she's Black. I'm Black and I'm her mother, and I believe in the one-drop theory."
http://www.huffingtonpost.com/2011/02/08/halle-berry-daughter-nahla-is-black-from-one-drop-rule_n_820071.html
Halle Berry is actually mixed.
Berry was born Maria Halle Berry, though her name was legally changed to Halle Maria Berry at the age of five.[4] Berry's parents selected her middle name from Halle's Department Store, which was then a local landmark in her birthplace of Cleveland, Ohio.[5] Her mother, Judith Ann (née Hawkins),[6] who is Caucasian, and has English and German ancestry, was a psychiatric nurse.[7] Her father, Jerome Jesse Berry, was an African American hospital attendant in the same psychiatric ward where her mother worked; he later became a bus driver.[5][8] Berry's maternal grandmother, Nellie Dicken, was born in the United Kingdom (Sawley, Derbyshire, England), while her maternal grandfather, Earl Ellsworth Hawkins, was born in Ohio.[9] Berry's parents divorced when she was four years old; she and her older sister, Heidi Berry-Henderson,[10] were raised exclusively by her mother.[5] Berry has said in published reports that she has been estranged from her father since her childhood,[5][11] noting in 1992, "I haven't heard from him since [he left]. Maybe he's not alive."[10]
https://en.wikipedia.org/wiki/Halle_Berry#Early_life
So, a rough estimate of Nahla's African admixture is half of her mothers since the father is Euro who average a very low African admixture. Since Berry is the daughter of one African American and one Caucasian (Euro most likely), and the mean African ancestry of African Americans is around 75%, this means that Berry herself is about 37.5% (75%/2) African. Her daughter is then 18.75% (37.5%/2) African, yet Berry calls her 'black' due to one-drop rule.
If practices like the above are widespread, it makes hard to conclude much from the UK data when we don't know the average admixture %.