Yossarian, Your post caught me eye having grown up at Cowpen estate.
Look in Northumberland>Blyth Street Name.. This was started on Friday, 24th June, 2011. There are 3 pages re this subject, and Beecher Street is mentioned. You may find what you are looking for.
I have googled 'Beecher Street, Cowpen' hopefully looking for old maps. There are some. One was on Pinterest, but I could not explore/enlarge that map, as I am not a member of that site.
Best of luck.
P.S. A modern map of that area has surprised me - in my time, below Beecher Street, and the others, was a field, and the sewage works before you gained access to the river bank. It seems as though all that area has been developed into commercial premises, etc.