Hello! I hope you're well.
You'd be very welcome to join Teddy's Tune Time. We're a pre-school music group that's just as much about the music for your little one as it is about meeting other, local mummies (so we have 30 mins of music followed by 30 mins of tea/coffee and chat!). Click on the most relevant link for more details (we pro-rata for joining mid term).
The Duke's Head, Putney (Tuesdays):
Fulham Palace (Thursdays):
Wandsworth Prep (Mondays):
Also, St Anne's Church and Church Hall (Wandsworth) have quite a lot of fun activities for mummies and their babes throughout the week and Wandsworth library has a rhyme time on a Tuesday afternoon that's free.
Apologies, I'm not entirely sure where BTC is! so if the above isn't helpful, try downloading Hoop - a great app that tells you about all the activities in your area.