Indeed, Bliss believes Coriolanus may have been the King's Men's debut play at the theatre. Taylor believes that the cumulative internal evidence all points to a composition date of no earlier than spring 1608. In his 1994 edition of the play for the Oxford Shakespeare, R.B. Parker dates the play mid-1608. In his 2000 edition for the New Cambridge Shakespeare, Lee Bliss is unconvinced by the arguments that Shakespeare is referring to the freezing of the Thames or to Myddelton's scheme, and settles on a date of late 1608 to early 1609.
Lee Bliss
Shakespeare