Time Inspection Sheet by Webb C. Ball's Inspection Service, 1891/92.

This predates The Hamilton Watch Co. [formerly the Keystone Standard Watch Co., it became the Hamilton Watch Co. on Dec. 14,1892] which would come to dominate the Railroad Timepiece market in later years. As of 1891/92, the majority of Watches on The L.S.&M.S. were Hampden's. Out of the 2344 Watches inspected 833 were still Hunter Cased with an additional 68 "Sidewinders" [Hunter Movements in Open Face Cases]. 
Also of note is that out of 2344 Watches 112 were still Key Winds & 1573 Watches were listed as New in Service. From the look of it only 318 out of the 771 "Old in Service" Watches passed their first inspection. Looks like 1891 was a bang up year for Jeweler's *, most likely due to the New Standards for Railway Watches that Webb C. Ball had implemented. In 1893 "The General Railroad Timepiece Standards Commission" presented their New Guidelines for Railway Watches, which was highly influenced by Ball & were accepted by more & more Railroads till around the 1920's their acceptance had become uniform throughout the industry.   
The Lake Shore & Michigan Southern Railway began in 1869. In 1877 Cornelius Vanderbilt gained a majority of the stock & in 1914 merged it with his New York Central Railway.  
*Employees were required to buy their own watches.