I was born 28/03/48 in the East End Maternity Hospital, 396 Commercial Road, London E1. My birth certificate has it "Birth in the sub-district of Limehouse" & "Registration District: Stepney".
Although born in the East End, I never lived there or hardly ever visited so I have no local knowledge of it. However, I have always used "Limehouse, Stepney, London" in the place of birth box when filling in forms. Having researched my ancestors as far as I wanted, I have belatedly turned to look at my myself, & Googled both "East End Maternity Hospital" & "Limehouse"...
"Limehouse is bounded to the west by Limehouse Basin" (Wikipedia)- BUT the maternity hospital (now Steels Lane Health Centre) lies a further half a mile beyond (to the west of) Limehouse Basin. I cannot imagine this 21st century definition arises from boundary changes (either formal, or general informal usage) since 1948.
So, I think I am right in in my place of birth being Stepney, but, within Stepney, was I born in Limehouse ?