Only two states, Kentucky and Connecticut, ever abolished tolls on their turnpikes.
Georgia abolished the toll booths on State Route 400, which goes from the northern suburbs of Atlanta into the city, but it took some protests and activism before that actually happened.
Also, the tolls were abolished on the Dallas-Fort-Worth Turnpike (Interstate 30) sometime in the 1970s, but it took public pressure to do that one, also.
In southern Virginia, the Richmond-Petersburg Turnpike (I-95 and I-85) abolished its tolls in the early 1990s. In that case, I think they realized that when interstate travelers could take the I-295 bypass around both cities, both the toll revenues and local commerce would dry up, so they dumped the tolls.