It's relatively easy on the Lambeth website to find a map of all of the wards, and then a plan of each ward with roads listed in a clear manner.
Does anybody have access to the same data for Southwark's wards that does not involve using the horrible application on Southwark Council's website? I'm really only interested in the two most northern wards of Southwark.
You don't get the road names, but you can put the postcode into http://www.neighbourhood.statistics.gov.uk select 'ward' as the area, and that'll give you a map at least. If you want more detail, maybe it'll have to be the website application.