VI Cases on WestlawDocuments that are released for publication in West Federal Reporters from the following Virgin Island courts: United States District Court of the Virgin Islands: begins with 1918; Municipal Courts: 1960-1976; Superior Court of the Virgin Islands (formerly Territorial Court of the Virgin Islands): begins with 1977; Supreme Court of the Virgin Islands: begins with 2007.
VI Cases on LexisVI Superior & Territorial Cases from 1959; VI Supreme Court Cases from 2007.
Virgin Islands Reports, Call Number: INTL KGZ13 .A24, no longer updated in Law Library, but collection starts with volume 1 (1917), includes Vol. 1 1917-1939; v. 2, 1940-1953; v. 3, 1954-1958; v. 4, 1959-1964, opinions of the District Court of the Virgin Islands, Circuit Court of Appeals, Third Circuit, etc.
Try searching for dockets on the court's web site. The National Center for State Courts offers judicial branch links for each state, focusing on the administrative office of the courts, the court of last resort, any intermediate appellate courts, and each trial court level.