Jayne, don't know how adventurous you are, but Stratford is a very walkable little city, I haven't travelled there by train, but I would imagine that Anne's is a very viable idea.
I also found this on tours within Stratford:
http://www.mushroompublishing.com/maps/stratford/soatour.html And this:
http://london-tour.conciergedesk.co.uk/tours_start.htm which looks like it might be helpful in finding day tours from London.
