Looks like William married the lady with the LUXFORD surname
Birth of children below
HUGKULSTONE, WILLIAM HENRY LUXFORD
GRO Reference: 1843 M Quarter in MARYLEBONE Volume 01 Page 254
HUGKULSTONE, EDWARD JOHN LUXFORD
GRO Reference: 1845 J Quarter in MARYLEBONE Volume 01 Page 242
HUGKULSTONE, LUCY EMILY LUXFORD
GRO Reference: 1849 M Quarter in MARYLEBONE Volume 01 Page 259
HUGKULSTONE, VALENTINE ROBERT LUXFORD Order
GRO Reference: 1853 M Quarter in MARYLEBONE Volume 01A Page 361
HUGKULSTONE, ALICE LUXFORD
GRO Reference: 1856 M Quarter in MARYLEBONE Volume 01A Page 387
They are in the 1861 as Hugglestone.