In 1810, children in the Scottish Borders played “an old game” called “The Outs and the Ins”. Played without a bat, players ran between dools (bases). It may have been an older variant of rounders and baseball.
The first printed rules for rounders was in 1828
Cromek, R.H. (1810) Remains of Nithsdale and Galloway song: with historical and traditional notices relative to the manners and customs of the peasantry. T. Bensley, London. pp. 252-254