The "original thirteen" now being reduced to ten by the disbandment of the Keokuk, Centennial and Washington clubs, there is a prospect of the throwing out of games in other series which cannot possibly be filled out according to requirements. In view of this, we append the following table of games between the first-class clubs, seven in number, as this basis will probably be the one upon which the championship will be determined.
-St. Louis Republican, July 11, 1875
And that last point is really important. The team didn't cease to be and there are plenty of reports about their activities during the second half of the season. But I've never found anything in the contemporary press talking about the fact the Reds were no longer playing for the national championship. The above report from the Republican is probably the closest I've seen to a St. Louis paper acknowledging the fact the Reds were no longer a factor in the NA.
And note that the Republican did not specifically mention the Reds with Keokuk, Philadelphia and Washington. The Reds had not disbanded, were still playing baseball and the possibility still existed, I guess, that they could play more championship games. Maybe I've been looking at this all wrong. Maybe there was no acknowledgement in the press because there was nothing to acknowledge. In retrospect, we see a clear end point for the Reds' NA season but that wasn't particularly obvious as it was happening.
Regardless, I still think somebody should have noted something about what was happening with the club in July. The entire 1875 season was a dramatic change of fortune for a club that had been so successful in 1873 and 1874 and it's a great story. In the end, the baseball press in St. Louis was more interested in the Brown Stockings and the Reds were an afterthought.