Northborough

In Chapter XVI, when Mary goes to the theater, there is talk of all the rich families living in England at the time. Mr. Flower talks about the mayor and mayorness of Northborough and how, "They're as rich-well, as rich as Americans". Northborough is a village in Cmabridgeshire in the East of England. It is an extremely small town. Ironically there is also a Northborough, Massachussets that is home to many wealthy families which could also be the place that Mr. Flower's is alluding too instead of Northborough, England. 

Central London

Central London is the innermost part of London and is known to have a high density population, expensive land, and a  gathering of various organizations. Central London is the region where Mary and Perry initially meet and is where the Central London School of Art is located. 

Sussex

In chapter 18, it is mentioned that the suffering girl ("number twenty seven") is in the hospital, and she is from Sussex. Allison feels as though she can help her, and becomes very interested in her case. Sussex is a historic county in South East England.

https://en.wikipedia.org/wiki/Sussex