With thanks to transplanted Londoner and source of great information, Pete of beetleypete.wordpress.com, who offers the following:
A Browning Street still exists, off Walworth Road, SE17. I used to go to school near there, and we always believed it was named after Robert Browning. I can also offer another Blue Anchor Lane, in Bermondsey. Home to a great fish and chip shop in my youth, and it also gave its name to the street market in nearby Southwark Park Road, known to everyone as ‘The Blue’.
thestreetnames 
Another update: I live very close to Browning Mews W1. As we are just round the corner from Wimpole Street, I have long assumed that there was a connection between this mews and the Robert Browning/Elizabeth Barrett Browning. Does anyone know for certain?
I think there must be a connection but I couldn’t swear to it for sure.