You are confusing Sex and the City with Friends. There is no character named Rachel in Sex and the City, much less a Rachel who works in a coffee shop.
Rachel (Jennifer Aniston's character) from Friends worked at a coffee shop called Central Perk.
On Friends, her full name is Rachel Karen Green, and in real life, her name is Jennifer Joanna Aniston.
Her name was Molly
Eva Pope plays Rachel Mason.
Rachel's mother's name is Sandra Green, played by Marlo Thomas
her middle name is Karen
Rachel Carson worked at the U.S. Fish and Wildlife Service and later at the U.S. Bureau of Fisheries.
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Rachael Blake's birth name is Rachael Morelle Blake.
Rachel Sorsa's birth name is Rachel Abramson.
Rachel Korine's birth name is Rachel Simon.
Rachel Dennison's birth name is Rachel Parton.
Rachel Devirys's birth name is Rachel Itzkovitz.
Rachel Chagall's birth name is Levin, Rachel.
Rachel Cannon's birth name is Rachel Wells.
Rachel Weinberg's birth name is Rachel Guzi.
Rachel Oliva's birth name is Rachel Lundgren.
Rachel Barrer's birth name is Rachel Barrer.