No, I don't have any links about any Eckhardt's from Manchester but I am an Eckhardt from Sheffield.
It seems in Sheffield there are two branches of the same family but there are not so many of us. My grandfather and possibly his father (Fredrick) also lived in Sheffield so this goes back to at least the 1920's.
I heard a story about my great great (???) grand mothers being a midwife fro Germany, who arrived complete with her children. I am not sure if she came with a husband.