Yes, There Was An NFL Team Called The Cincinnati Reds

Here's the front cover of the official 1933 Cincinnati Reds program.

The Reds were an NFL expansion club that 3-6-1 in their inaugural season.

At least those three wins came in their last four games.

In 1934, the Reds' franchise was suspended after going 0-8 and were replaced by the St. Louis Gunners, who had been a successful independent club.

The Gunners went 1-2, then left the NFL to revert to independent status.