When did stock marketing begin?

Answer 1

Centuries ago.

Depending on your definition of what a 'stock market' is, credit could go to Muslim and Jewish businessmen in the 11th century, French courratiers de change in the 12th, or the Dutch and Italians in the 13th.

Many people would cite the beginnings of the British East India Company (1600) and the Dutch East India Company (1602) which were joint-stock companies sort of like we think of them today.

The New York Stock Exchange is a relative newcomer, then, starting in 1792 with the Buttonwood agreement.