1802 - "First" Baptist Church?

From Today in Christian History by Studylight.org:

1802 - In Washington, D.C., the first Baptist church was organized with six charter members. Their first pastor Obadiah Brown was hired five years later, and Brown remained in that pulpit while involving himself in every important local Baptist program for the next 43 years!

Although I am not a baptist, I was under the impression that the Baptist denomination was much older. Is the above statement accurate, or should it say, "the first Baptist church in Washington, D.C.," or "the first Baptist church in the U.S.," or the first "First Baptist Church?"

Baptist Christian History "Firsts" Christian Christianity