I did an image search based on the original REA auction in 2008 for this card and really found nothing -
http://www.robertedwardauctions.com/...2008/1163.html
One nice lead I have is from a very nicely written thesis detailing the Montana Mines leagues called "Joy in Minersville" located here -
http://scholarworks.umt.edu/cgi/view...10&context=etd
So many teams used the name "stars" in the 1800's it could be close to impossible to locate. However, the reference used in this paper on page 69 is 143 "SC 783, Star Baseball Club Records, Montana Historical Society Archives, Helena Montana."
If you really want to dig, you may want to see if they have any photos for comparison. The name and the fact they were in a mine league is a good start.