The 9/30/1998 Unified Watershed Assessment Report US Virgin Islands listed the owner as "Private".
https://ufdcimages.uflib.ufl.edu/CA/01/30/06/81/00001/UWA.pdf
From "The Virgin Islands Consortium":
"According to public records obtained by the AP, the island was once worth $3 million and owned by a woman who died in a chalet in Switzerland. The island had been divided into parcels and given to three people and was later sold to Epstein."
https://viconsortium.com/breaking-news/international-media-turn-attention-to-little-st-james-island-in-usvi-belonging-to-jeffery-epstein/