When an outbreak of the plague struck London in January, 1593, all the theatres, especially those on the left bank of the Thames, were closed. When the theatres were re-opened late in 1594, one of the plays that was probably performed then was Romeo and Juliet. Curiously enough, it played at The Theatre, which was owned by Shakespeare and his partners, known as the Lord Chamberlain's Men.
It is believed that Richard Burbage, a favorite of Shakespeare's, played Romeo. At the time, he would have been 20 years old, somewhat older than Romeo. Master Robert Goff was one of the young men in the company who were frequently cast as young women because their voices were female in tone. It is noteworthy that women did not have frequent roles until the reign of Charles II, who was having an affair with Nell Gwynn, an actress.
The portrayal of the casting for Romeo and Juliet in Shakespeare in Love is very accurate, as is its depiction of a performance of the play. However, the Queen probably would not go to "hear a play" in London, since she could have the plays performed for her at court, a scene which also appears in the film.