LONDON– Prince Harry and his other half, Meghan, on Sunday announced the birth of a child, whose name, Lilibet, pays homage to Harrys grandmother, Queen Elizabeth II, after a year of estrangement between the couple and the British royal family.The infant, who was born on Friday morning in Santa Barbara, Calif., will go by the name Lili, an abbreviated version of the nickname provided the queen when she was a young woman. In a statement, the couples press secretary stated Meghan and her child were healthy and back house in Montecito, Calif., where the couple moved last year after a rancorous separation from the family.Harry and Meghan likewise have a 2-year-old child, Archie.”Relations between the couple and Harrys household have been in deep freeze because March, when Harry and Meghan gave their interview to Ms. Winfrey, in which Meghan declared that a member or members of the household viewed her unborn first child with stress and anxiety since of the color of his skin.The family, she said, chose prior to he was born not to grant Archie the title of prince and the designation His Royal Highness.