Lucie is a real person, attested in primary documents as the wife of John le Strange, who died in 1269. And the earliest secondary sources refer to Lucie as "Lucie, daughter of Robert de Tregoz."
But which Robert? Lucie is currently connected as the daughter of Robert de Tregoz and his wife Sibyl de Ewyas.
But while no primary documents have been found proving her parentage, the preponderance of most reliable secondary sources claim instead that she is the granddaughter, not daughter, of Robert and Sibyl, and that instead she is the daughter of Robert de Tregoz, junior, and his wife Julianne.
At the moment, Lucie's biographical write up contains nothing under "birth and parents.: Instead, under Research Notes, I've created a section containing the assertions Lucie is the daughter of John and Sibyl, and another section with assertions she is the daughter of John and Julianne.
Currently, the evidence for John and Julianne is stronger. But before making any changes to Lucie's parents, I would appreciate thoughts and comments. And certainly suggestions of additional resources, preferably primary sources, which I've not yet found!