 Although NY 3E still connected to NY 3, it was renumbered to NY 104B at this time.The portion of NY 104B within the town of New Haven was realigned in the late 1940s to follow a new highway that bypassed the hamlets of New Haven and Demster to the north and south, respectively.The old alignment of NY 104B is now maintained by Oswego County as part of CR 6 from NY 104 to CR 1 and as part of CR 1 from CR 6 to where it meets modern NY 104B southwest of Texas.