Full Count Felicia is out of Claire de Lune (Galileo), a winner at two and stakes-placed in France. She is a full-sister to one other winner and a half-sister to another. Claire de Lune is a half-sister to L'Ancresse (Darshaan), a stakes winner who was second in the Gr.1 Irish Oaks and in the Grade 1 Breeders' Cup Filly & Mare Turf in 2003. L'Ancresse has had eight winners from eleven runners, among them Master of Reality (Frankel), winner of the Gr.3 Vintage Crop S. and third in the Gr.1 Ascot Gold Cup, Sibila Spain (Frankel), winner of the Gr.2 Prix du Muguet in France and Group 1-placed, and the stakes winner Chamonix (Galileo). Another daughter, Bywayofthestars (Danehill), was second in the Listed Garnet S. and is the dam of Orchestra, winner of the Gr.3 Chester Vase and Classic-placed.

Second dam Solo de Lune (Law Society) won once at three, was second in a Listed race in Germany and produced 11 winners. They include Moonstone (Dalakhani), winner of the Gr.1 Irish Oaks and dam of six winners headed by U S Army Ranger (Galileo), second in the Gr.3 Chester Vase and the Gr.1 Investec Derby, by the dual Group 3 winner Nelson, placed at Group 2 level, and by Words, winner of the Gr.3 Munster Oaks and Classic-placed. Solo de Lune is also the dam of Cerulean Sky (Darshaan), winner of the Prix Saint-Alary, then a Group 1, and second in the Grade 1 E. P. Taylor in 1999, who bred the top stayer Honolulu (Montjeu), winner of the Gr.2 Doncaster Cup, Classic-placed and a sire, and of Diner De Lune (Be My Guest), a Listed winner in France and dam of the champion and Listed winner Moderator.

Third dam Truly Special (Caerleon) won the Gr.3 Prix de Royaumont, was third in the Prix de l'Opera, then a Group 2, and bred eight winners. They include the Group 2 winner and sire Wareed (Sadler's Wells) and Truly A Dream (Darshaan), who won the E. P. Taylor S., then a Grade 2, and is the dam of Dream Peace, a Group 2 winner placed at Group 1 level.

Claire de Lune has a 2022 filly named French Moonlight (Liam's Map), a yearling filly by Smiling Tiger and a filly foal by American Pharoah, and has been covered by Essential Quality and Early Voting.