eldest child of Rainier III, Prince of Monaco, and Grace Kelly [1]
The Prince's Palace of Monaco styles her “H.R.H. the Princess of Hanover.” Wikidata records the honorific prefix Royal Highness from her marriage on 23 January 1999, and Serene Highness until that date. GOTHA does not treat that style as outranking the Sovereign Prince of Monaco. The Palace biography does not use the title Duchess of Brunswick-Lüneburg; the Journal de Monaco notice of the 1999 marriage gives that ducal title to her husband. [2]
Sourced title: “Princess Caroline of Monaco (Wikidata / English Wikipedia display name). Wikidata P97 is the generic item princess (Q863048) with qualifier P1001 (applies to jurisdiction) Monaco, referenced to the Prince's Palace biography.”: https://www.wikidata.org/wiki/Q233966#P97