Why "Share" Markets?

Today i had a discussion about Share markets and why the word Share as to be used for the same.
Pros :
Its a share because a company's wealth is being shared by a few individuals who owns.
A company wealth or profits shared among its own employees
Cons:
What is being shared is money but is it really a share or transfer or temporary place where money changes hands. Why it should be worded as shares when actually there is no sharing of wealth , companies wealth or money is actually called the stock.

Stock holder is the owner of the company and Shareholder is an employee or virtual beneficiary of the company profits.