I regret to confirm that Ted Kennedy did, indeed, graduate from the University of Virginia Law School.
When the Albemarle Co. (VA) courthouse was being renovated several decades ago, someone opened an old desk drawer that had a handful of citations for traffic violations that the sheriff had hidden. Both Bob and Ted Kennedy were notorious party guys when they were in law school at UVA.
Another illustrious alum of the UVA law school is Sheila Jackson Lee (1975). She was born 18 years after Ted so they weren’t there at the same time.