> The New York Supreme Court is the oldest Supreme Court with general original jurisdiction. It was established as the Supreme Court of Judicature by the Province of New York on May 6, 1691. That court was continued by the State of New York after independence was declared in 1776. It became the New York Supreme Court under the New York Constitutional Convention of 1846.
The name predates the US Supreme Court (in fact, predates the US itself), and many other state courts. Basically, someone changed the naming convention out from under them.