I think this is the marriage of Joseph and Ann...
Marriages Mar 1861
COX, Ann Hodgetts
HODGETTS, Joseph
Dudley 6c 85
(From a transcription, his father John HODGETTS, her father Joshua HODGETTS. Ann was born before Joshua's marriage to Mary COX)
Children that are with them in 1871
HODGETTS, WILLIAM JOHN
Mother's maiden surname: HODGETTS
GRO Reference: 1862 D Quarter in DUDLEY Volume 06C Page 82
HODGETTS, JOSEPH
Mother's maiden surname: HODGETTS
GRO Reference: 1866 J Quarter in DUDLEY Volume 06C Page 72
HODGETTS, MARY ELIZABETH
Mother's maiden surname: HODGETTS
GRO Reference: 1871 M Quarter in DUDLEY Volume 06C Page 60
Louisa was born at Cannock Chase.
HODGETTS, LOUISA
Mother's maiden surname: HODGETTS
GRO Reference: 1874 M Quarter in LICHFIELD Volume 06B Page 469
We know that it was Joseph who married Martha STRINGER in 1888. Their first child was Annie May.
HODGETT, ANNIE MAY
Mother's maiden name: STRINGER
GRO Reference: 1891 J Quarter in CHESTERFIELD Volume 07B Page 783
Then Elsie was born in 1893
HODGETT, ELSIE ELIZABETH
Mother's maiden surname: STRINGER
GRO Reference: 1893 M Quarter in CHESTERFIELD Volume 07B Page 746
I think that the marriage has broken down, Martha left with Annie and in 1901 she is living with Joe WALTON in Yorkshire.
https://www.familysearch.org/ark:/61903/1:1:X955-MB3The two eldest are Joe's children, but Hilda is their child together.
WALTON, HILDA
Mother's maiden surname: STRINGER
GRO Reference: 1896 S Quarter in CHORLTON Volume 08C Page 811
The WALTON family emigrated to Canada just after the 1901 census.
https://www.familysearch.org/ark:/61903/3:1:S3HT-6LTS-FMYDebra