I was born in the US, my mother is a british citizen and father jamaican. Can i obtain a british passport?

Question

My mother is from Cayman which is a British Overseas Territory and therefore she is a British citizen. My father is from Kingston, Jamaica. I was born in the U.S. in 1979.

Answer 1

since the Cayman island is still under UK governance, therefore your mother is indeed a British citizen,

here is what is said about the year of your birth:

Prior to 1983

Prior to 1983, as a general rule British nationality could only be transmitted from the father through one generation only, and parents were required to be married. See History of British nationality law.

# With effect from 30 April 2003, a person born outside the UK to a British mother may be entitled to register as a British citizen by descent if that person was born between 8 February 1961 and 31 December 1982.# However those with permanent resident status in the UK, or entitled to Right of Abode, may instead prefer to seek naturalisation as a British citizen which gives transmissible British citizenship otherwise than by descent. Requirements for successful registration are  that the applicant be of good character and attend a citizenship ceremony.

therefore? yes, you are entiltled to British citizenship, approach the right consulate in the US, and start procedures,

UK allows dual citizenship as well as the US.