Does anyone know anything about the Cincinnati Red Stockings team that apparently travels around the country playing baseball in the garb of 1869 and by the rules of that era?

I was just in Massachusetts for my 40th class reunion. We were staying at a Holiday Inn just south of my hometown. Saturday morning, my wife came up from the lobby and said there were a bunch of men down there dressed in old-time baseball uniforms. Later, as I was headed down the hallway, I ran into a woman dressed in a vintage Reds' uniform. I asked her some questions and she said her boyfriend played on this team. She said that Friday they had played a game in Newbury, Massachusetts, and they were about to go play one on the Boston Common.

I never heard of this so I googled it:

http://www.1869reds.com/

Has anyone ever seen them play?