The neighbour said the mother was half-Polish and half-Italian and had lived at the address for about two years.
The mother was believed to have been a full-time carer for disabled Eleni.
Flowers and tributes were continuing to be left outside the home.
Among them, a teddy bear was left outside the end-of-terrace house, along with a card which read “rest in paradise”.
A cordon remained in place on South Radford Street.
Det Ch Insp Whalley said: “We know there will be some disruption to the local community, but it is so important that we do this.
“We need to be able to provide loved ones with the information they need to process this news.
“We thank the public for their patience whilst we investigate and their compassion.
She added that a file would be passed to the coroner.
