The record of the National Fruit Collection, at Brogdale in Kent, describes it1:
Thought to have originated in France. First recorded in 1667. Fruits have fine, soft, dry flesh with a sweet flavour.
Sources
Fenouillet Rouge (accession 1947 - 499), National Fruit Collection, Brogdale, Kent (Defra).
Supports: the description quoted; the use; the fruit's size, shape and colours and the flesh, from the collection's characterisation; the other names.