As was told to queen Anne, (and others i am sure), to give Parliament the power to make a king is to give them the power to unmake a king.
The title queen, thought, is very different. The Queen mother had the title queen extended to her, as the wife and consort to the sovereign, but she was not an anointed queen.

The Queen Mother (Elizabeth) held the title of "queen" as an honorary, she was not the ruler, nor had she any right to the throne. in days past she would have been referred to as a dowager queen.

Queen Elizabeth had a coronation, a ceremony when she was crowned, and anointed by the Archbishop of Canterbury, and made Queen. (there is usually one year between the death of old ruler, and coronation of new... it was in that period that Edward resolved to marry Mrs. Simpson. So he was King Edward (by virtue of the fact his father had died,) but he had not yet been crowned king. once he made it clear he was going to marry mrs. simpson, the government stopped his coronation.)

i think William and Mary where the only king and queen who each had rights to the throne, and ruled jointly.