Hi Tracey,
I'm lost!
In 1881 she is age 7, born Cranborne, 'daughter' in the household of Frank and Sarah Brewer, along with a George Warwick age 5.
You say her mother Elizabeth died in 1878? I presume there is a mistake somewhere.
Are you sure she's the same person as the adopted daughter in 1901, who is 4 years out?
I can see a girl matching the 1901 census find on the
1891 census:
RG12/925 50 16
Swathling, Hampshire John Young, head, 63, Farm servant, b. Horton Dorset
Harriet, wife, 65, b. Christchurch Hants
Alice M M Warwick, granddau, 13, b. Thru Cross Dorset
Was your Alice named Alice M M?
I can't find the record where she is a niece to Flemlingtons

Tanja