MIG wrote:

I think that Brick Lane might have been reasonably useful as a name
because it is near where Brick Lane is located (as accurate as Euston
Square or Chancery Lane),

Both of which are old names from a different era. Just because in the past
ambiguities were made (although wasn't Chancery Lane a name that was
reasonably accurate for the site of the original lifts and never got changed
when a new entrance was built for escalators?) doesn't mean they should be
repeated now.