I never understood how soccer and American football were variations of the same origin sport until I saw how rugby was played, which made me wonder what that original sport was. As near as I can tell gameplay effectively amounted to "move the ball down the field however you want" with virtually no rules. So, why was called football? It seems like people wouod have been carrying and throwing the ball mostly if that was allowed.
I wrote about the history of football and the English attempts to ban the sport during the medieval period in an earlier answer, here.
Although not primarily focused on how the game was played (mainly because there were no generally agreed rules in this period, so it was played quite differently in different places), it may be of some interest to you while you await further replies.
The bottom line from the point of view of your query, though, is that sources are very scanty indeed for this period and the ones that exist are predominantly legal records that don't usually give a clear picture of what exactly happened on the field of play.