Definition of "tiddlywinks"

Can any of your correspondents inform me what is the derivation of the word "kiddlewink," or "tiddledy winks"? A friend tells me in the Midland Counties it denotes a house where beer is sold without a licence. Lately a game has been introduced here bearing the name of "Tiddledywinks."]

”, in Notes and Queries: A Medium of Inter-communication for Literary Men, General Readers, etc., volume IX (7th Series), number 212, London: Published […] [b]y John C. Francis, page 48, column 2

Recreation rooms were provided for both boys and girl, and the long winter evenings were anything but dreary, for when school was done and work over the children gathered in the brilliantly lit, hot-pipe-heated rooms and played draughts, bagatelle, lotto, or tiddly-winks.

1894 August, Henrietta O[ctavia] Barnett, “The Home or the Barrack for the Children of the State”, in The Contemporary Review, volume LXVI, London: Isbister and Company […], page 246

What had been his hypothetical singular solutions? Parlour games (dominos, halma, tiddledywinks, spilikins, cup and ball, nap, spoil five, bezique, twentyfive, beggar my neighbour, draughts, chess or backgammon): […]

1922 February, James Joyce, “[Episode 17: Ithaca]”, in Ulysses, Paris: Shakespeare and Company, […], part III [Nostos], page 638

Mantrap—Sinclair Lewis—Harcourt, Brace. The great realist plays an amusing game of tiddlywinks in the north woods.

1926 September, “The Bookman’s Guide to Fiction”, in John Farrar, editor, The Bookman, volume LXIV, number 1, New York, N.Y.: George H[enry] Doran Company, page 90, column 1