Hi,
Firstly my apologies, it say the River WANDLE not WARDLE as I first said

I found them using Ancestry and looking up 1851 Surrey, Wandsworth, enumeration district 6, it gives the description of the district. The page is here but I think you need a membership to access it
https://www.ancestry.co.uk/search/collections/uki1851/Then I used this great site to find maps for Wandsworth,
https://maps.nls.uk/The whole site is interesting and seems huge, I'm still learning about it. I used "Find by place" and played around with the different categories and dates in the search box using Wandsworth as my start point, I really enjoyed doing it so I'm glad it helped

I think there would have been dwellings in Field's Alley but I could be wrong

I hope this info helps you in the future

Regards,
Daisy