This would be named after the play ‘The Two Gentleman of Verona’. The roads in this area, are all named with references to the works of Shakespeare, as a sort of pun on the name of the village Stratford.
Although it is ‘Stratford-sub-castle’, it is actually very close to the River Avon, but not the same River Avon as the one that runs through Shakespeare’s birthplace, Stratford-upon-Avon.