The child always follows the allegiance of the father. http://www.usnaturalborncitizen.com/meaningofnaturalborn.html
Harris was born Oct. 20, 1964, and her father was a citizen of Jamaica at the time of her birth.
Specifically, Chapter 2 (entitled Citizenship) of the Jamaica Constitution, Section 3C states:
Every person born outside Jamaica shall become a citizen of Jamaica –
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on the sixth day of August 1962, in the case of a person born before that date; or
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on the date of his/her birth, in the case of a person born on or after the sixth day of August 1962,
if, at that date, his/her father or mother is a citizen of Jamaica by birth, descent, or
registration by virtue of marriage to a citizen of Jamaica.
Doesn't fucking matter.
The US recognizes any child born of an american as american, regardless of what some other country has to say about it. US law doesn't cede to some other nation's thoughts on the matter.