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The Collaborative International Dictionary
Tableman

Tableman \Ta"ble*man\, n.; pl. Tablemen. A man at draughts; a piece used in playing games at tables. See Table, n., 10. [R.]
--Bacon.

Wiktionary
tableman

n. 1 (context rare English) Any of the pieces used to play the game of tables, backgammon or draughts 2 (context rare English) A person sitting at the same table