Denji
I have examined your certificate. My version of it would definitely be no 1 back of no 40. i don't think i have ever seen a court going as high as 40 houses. i think Phil was hoping that electoral rolls might help, but before 1910 they are not too much use in this sort of case as women , and many men are not included. I did look at the Rate books for 1901, but no-one named Higgs or Williams seem to be listed in Bordesley Green . (I am not quite sure if the area was included on those online anyway).
Apart from that i examined the maps available. there is no indication of any large court around no 1. No 40 would be just to the east of the junction of Crown Road with Bordesley Green. From the 1880s till the 1950s this seems to have been industrial, firstly the Atlas & Crown brickworks, and at around 1900 a coal yard. therefore it cannot be there. Lastly, in confirmation i found the areas around no 1 and no 40 on the 1901 census. There is no no1, or back no 1 listed, and the first number listed is no 7. Similarly there are no occupants listed between no 12 and no 70.
Therefore I think it can be concluded that the addresses given on the certificate were false. It was not uncommon to give a false address, not necessarily for any really dubious purpose, but because, as i understand it to be married at a church you had to live in that area or have regularly worshipped at the church, or obtain special permission. If one of the pair lived in the area it was common for both to say they lived there. Otherwise sometimes a false address was given
hope this had been useful