Henriette or Henrietta could be the middle name of a daughter.
Jack Brooksbank could be a godfather.
There had been an English & Scpottish queen Henrietta Marie and her daughter, thus an English & Scottish princess, calleed Henrietta Anne.
If it's a girl and Jack is a godparent, they could go for Jacquetta, there was Jacquetta of Luxembourg who was first as the wife of John of Lancester, Duke of Bedford the sister-in-law of Henry V., but later married Earl Rivers and managed to marry her daughter Elizabeth Woodville to Edward IV. (of York). Her granddaughter Elizabeth of York brought the Crown to the Tudors.