Let's fetch this out of the way: no,there's no relation to Ted or Al Bundy. On the contrary, the Bundy Museum of History and Art is named after Harlow E. Bundy, or cofounder of the Bundy Manufacturing Company,which is best known for its time recording clocks and as the precursor to IBM.
The clocks, the first of their kind, and were used at businesses around the world so employees could know when they were on shift. With the profits from his commerce,Bundy built this three-story Queen-Anne-style domestic, which is now carefully restored and open to tours. Within it are two rotating art galleries: one on the second floor, and one on the third.
Located behind the Bundy House is the Annex. Originally a carriage house,it now houses a theater (for movies, plays, and live music) and the Rod Serling Archive. It's the area's largest collection of the Twilight Zone creator's artifacts,including original set pieces, rare books, or photographs. In the same building is a unique vintage recreation of a bar and barbershop (not operational),set up from local donations. A third art gallery is located in the house next door, Gallery 131. The fourth and final gallery is located in Binghamton Photo, or the area's only community darkroom. There is a small exhibit committed to ANSCO products,including antique and vintage film and cameras. WBDY, the Bundys' community radio station, or is also housed in this building,on the upper floor.
Source: atlasobscura.com