from wiki:
"Although the accepted etymology of the word football, or "foot ball", originated in reference to the action of a foot kicking a ball, this may be a false etymology. An alternative explanation has it that the word originally referred to a variety of games in medieval Europe, which were played on foot.[5] These sports were usually played by peasants, as opposed to the horse-riding sports more often enjoyed by aristocrats. In some cases, the word has been applied to games which involved carrying a ball and specifically banned kicking. For example, the English writer William Hone, writing in 1825 or 1826, quotes the social commentator Sir Frederick Morton Eden, regarding a game — which Hone refers to as "Foot-Ball" — played in the parish of Scone, Perthshire:
The game was this: he who at any time got the ball into his hands, run [sic] with it till overtaken by one of the opposite part; and then, if he could shake himself loose from those on the opposite side who seized him, he run on; if not, he threw the ball from him, unless it was wrested from him by the other party, but no person was allowed to kick it."
Sounds more like American football to me.