Hi again
This may be her birth registration...
Harriet Louisa PERIAM
June qtr 1848, Birmingham vol 16 p 373
And this might be Harriet as well...
1851 Birmingham (St Peter)
HO 107/2054 folio 392 pages 16-17
Address: 119 Canal St
Henery W PERIAM, head, 41, screw bolt maker, London
Ann, wife, 46, Hagley Worcestershire
William H., son, 18, screw bolt maker, [Holly Hall Worcestershire?]
John J., son, 17, screw bolt maker, Stourbridge Worcestershire
Thomas E., son, 12,, scholar, Bnm Warwickshire
Elizabeth, daur, 10, scholar, Bnm Warwickshire
Charles, son, 8, scholar, Bnm Warwickshire
Harriet L., dau, 2, Bnm Warwickshire
1861 Birmingham (St Martin)
RG 9/2145 folio 48 page 32
Address: 9 Barford St
Ann PERIAM, head, mar, 56, screw-bolt mk, Hagley Worcesters
Harriet, daur, 13, nurse girl, Birmm Warwicks
Herbert, son, 11, Birmm Warwicks
Where was Henry? This looks likely...
1861 Oxton & Woodchurch (Tranmere) Cheshire
RG 9/2647 folio 72 page 40
Address: Hawthorn Cottages
Louisa E. PASSMORE, head, mar, 46, school mistress, 46, Edmonton Middlesex
Henry W. PERIAM, visitor, mar, 51, screw bolt maker, London