Cardwell notes that they were in Paris, KY on December 31. (pg 31 Cardwell) as does Touring with Cable and Huck, Scharnhorst has them in Hamilton:

In Hamilton, Ohio, the next night, New Year's Eve, “a man with creaking shoes stalked out of the hall in the midst” of Sam’s reading so he shouted to the fellow “in the most benevolent & persuasive tone, ‘take your shoes off, please; take your shoes off’ to the great delight of the applauding audience.” [Page 439 The Life of Mark Twain - The Middle Years 1871-1891]

From the Hamilton Telegraph December 18, 1884

"--Mark Twain, the humorist, and Geo. W. Cable, the eminent novelist, will appear in Hamilton on New Year's eve, in readings, under the management of J.B. Pond, of Boston"

Courtesy Valerie Eliot, Lane Public Library

Railroads:  Cincinnati, Hamilton and Dayton, Cincinnati, Eaton and Richmond