Prince and Princess Michael of Kent have become grandparents for the first time after their son's wife, the actor Sophie Winkleman, gave birth to a baby girl.

Lord Frederick Windsor was at his wife's side during the birth at a hospital in Los Angeles, where the couple are based. They have named their daughter Maud Elizabeth Daphne Marina.

Prince and Princess Michael said in a statement: "Lady Frederick Windsor was yesterday safely delivered of a baby girl at Ronald Reagan UCLA Medical Centre in Los Angeles. The weight of the baby was 7lbs. Lord Frederick Windsor was present at the birth.

"Prince and Princess Michael of Kent's family and Sophie's family have been informed and are delighted with the news."

The baby girl is 42nd in line to the throne. The Queen, who is a cousin of Prince Michael, has been told of the news. Winkleman, 33, who has starred in the TV sitcoms Peep Show and Two and a Half Men, married Lord Frederick, 34, in September 2009 at Hampton Court.