Here's an auction lot of Kotton backs with 3 Miller fielding cards:
http://www.legendaryauctions.com/lot-57434.aspx
Type 1 - Pittsburg
Type 2 - St. Louis
Type 3 - St. Louis
Makes sense since he left Pittsburg for St. Louis in 1913 (T216 were issued 1911-16)
I'm not sure how the Mino and VE backs would play into this though. We know there's a Pittsburg w/ a VE back so if these were still being issued w/ VE after 1913 then there's a strong possibility of a St. Louis w/ VE back also.
An auction listing showing Mino (St. Louis) and VE (Pittsburg):
http://www.legendaryauctions.com/lot-58333.aspx