They were possibly in Bethnal Green in 1871:
RG10/479 Folio 52 page 7.
13 Warner Place
Elizabeth Murgitroyd, widow, 60, formerly a laundress, b. Bethnal Green
(same address, next family)
George Murgitroyd, head, 29, paper marbler, b. Bethnal Green
Emma, 28, b. Hoxton
George, 6
Emma, 4
Louisa, 3
Sarah, 1 (all b. Bethnal Green).
occupation/location doesn't quite fit with what you've got but there is a marriage in Shoreditch district:
listed under April/May/June 1863 Shoreditch Volume 1c Page 346 (taken from original images)
George Murgitroyd
Emma Smith