If you're sure about the Jewish connection ...
A long shot, but perhaps this might be the family in earlier censuses, with a subsequent change of surname from Jacobs to Jackson?
Great Alie Street is close to Goodmans Fields.
Harry Daniel Jackson had a daughter named Theresa.
1881 census
RG11/446 folio 8 page 10
2 Great Alie Street, Whitechapel, Middlesex
John Jacobs, head, married, 53, Hairdresser, born Russian Poland, Kosokoff
Theresa Jacobs, wife, married, 44, Housekeeper, born German Poland, Schroda
Doretta Jacobs, daughter, unmarried, 24, Tailoress
Lizzie Jacobs, daughter, unmarried, 21, Tailoress
Louis Jacobs, son, unmarried, 19, Hairdresser’s Assistant
Jane Jacobs, daughter, unmarried, 17, Tailoress
Fanny Jacobs, daughter, unmarried, 13, Scholar
Gabriel Jacobs, son, unmarried, 11, Scholar
Anne Jacobs, daughter, unmarried, 9, Scholar
Sarah Jacobs, daughter, unmarried, 7, Scholar
Joseph Jacobs, son, unmarried, 5, Scholar
Daniel Jacobs, son, unmarried, 3
Minnie Jacobs, daughter, unmarried, 1
Kate Wallace, servant, unmarried, 16, General Servant, Domestic
(all the children born Middlesex Whitechapel)
1891 census
RG12/282 folio 87 page 1
2 Great Alie Street, Whitechapel, London
John Jacobs, head, married, 64, Hairdresser, born Poland
Thresa Jacobs, wife, married, 55, born Germany Posen
Doretta Jacobs, daughter, single, 34, Tailoress
Lizzie Jacobs, daughter, single, 31, Tailoress
Fanny Jacobs, daughter, single, 23, Teacher (School)
Gabriel Jacobs, son, single, 21, Cigar Bundler (Tob[acco])
Annie Jacobs, daughter, single, 19, Shoe Bow Maker
Sarah Jacobs, daughter, single, 17, Teacher (School)
Joseph Jacobs, son, single, 16, Clerk (Shorthand)
Daniel Jacobs, son, single, 13, Hairdressers Assistant
Minnie Jacobs, daughter, single, 11
(all the children born Middlesex Whitechapel)
Needs more work ...