Actually Fred, there were many variations of the game 'football' but Rugby Football was the first codified sport in the UK. Association Football split from the Rugby Football code about ten yrs after it was codified because of the aforementioned tackling issue. Apparently the Rugby bods thought tackling with the feet to be ungentlemanly.
Association Football is a younger sport than Rugby. Many local variants have been played around the UK for centuries but the game wasn't codified til 1863 i believe?
Rugby (School) rules were laid down sometime between 1820-1830.
Before 1863 rules had to be agreed before play because teams often played to wildly different rules, some of which allowed for the handling of the ball. In fact, ball handling during 'football' games is mentioned in rports of the game(s) from the 13th/14th Centuries onwards.
The definite ban on any form of handling the ball in Association Football was a way of finally separating the game from Rugby Football.