Hello Bill,
Looking at the 1881 census, Rose Hedges was a housekeeper at the home of William Scholing - they also appear together in the 1891 census at Barking, but no sign of Britannia.
Can't find a marriage though ....
You may have to send for Britannia's birth certificate - her birth registration is on Free BMD, December quarter, West Ham, ref 4a 105 (which you probably already know!)
Yorkslass