One vestige of the western land claims is Case Western Reserve University, which resulted in a merger with Western Reserve University. Connecticut called it’s strip of land west of Pennsylvania its “Western Reserve.” It attempted to hold on to most of the Ohio portion even after the states surrendered their land claims in exchange for federal assumption of their debts, but eventually was forced to give it up. The name still survives in some places.
Here's something else I found relating to what I was referring to before:
I-684 cuts through a corner of Connecticut (1.41 miles) but has no entrances or exits there; it's the only interstate highway that sneaks through a state this way. There's still a "Welcome to Connecticut" sign, and ramps of a New York interchange cross the state line. Paul Schlichtman tells of a 1987 incident where New York police responded to an overturned truck but realized, "hey, we're not in New York!" Connecticut police, who have jurisdiction on that stretch, had to be summoned in.