Not after Pippa Middleton
According to people who bet on royal baby names, Meghan Markle and Prince Harry's soon-to-be-born daughter might be a "Philippa."
The U.K. gambling site Ladbrokes "slashed the betting odds on the name to 3/1" following the death of Harry's grandfather, Prince Philip, last month, People reports, noting that the younger generation of the royal family has a recent history of honoring the patriarch (Princess Eugenie and Zara Tindall, Harry's cousins, gave their newborn sons the middle name Philip).
Diana (after Harry's mother, the late Princess Diana) and Elizabeth (after Harry's grandmother, the Queen) are also still going strong, at 5/1 and 10/1 respectively. Celebitchy further casts doubt on Philippa, noting that the baby would be "Pippa for short" and "the Middletons would be so mad." Celebitchy predicts, rather, that "it will be something unexpected. Archie Harrison was unexpected. It won't be 'Elizabeth Philippa Diana.'"