Probably a little bit too far for you, but we are a drop in playgroup on Tuesdays in St Anne's Church Hall, SW18 2RS.
We have a normal toddler group in our main room and we also have a specific baby room for mums with babies of up to 12 months or so which is really nice to escape the wonderful hecticness that is a toddler group
It's Tuesdays 9.30 til 11.30 during term time (though we do try and operate in half term holidays wherever possible).
drop us an email on teddybearsgroup@gmail.com if you want to find out more
