Many illustrious forebears, no doubt. A peerage connection: Mother and baby are descendants of Charles II (of course) through the dukes of St. Albans and are descendants of dukes of Marlborough.
Charles II & Nell Gwyn
Charles Beauclerk, 1st Duke of St. Albans
Lord Sidney Beauclerk
Topham Beauclerk (1739-80), m. Lady Diana Spencer, dau. 3rd Duke of Marlborough
Mary Day Beauclerk (1766), m. Franz Jenison, Graf Jenison von Walworth (HRE and Bavaria)
Amalie Grafin Jenison v W (1806-80), m Graf von Schonburg
Karl Heinrich Graf von Schonburg-Glauchau (or Forderglauchau?)
Joachim, Graf v S-G (1873-1943), m. Octavie Chotek, sister-in-law of Archduke Franz Ferdinand
Friedrich Karl Heinrich Graf v S-G (1899-1945)
Joachim Graf v S-G (1929-98)
Gloria v S-G, Princess von Thurn und Taxis (1960)
Princess Maria Theresia von T&T
Mafalda Wilson (2015)