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It certainly look like this on both A** and FMP, but never heard of it and cannot find a matching birth. She is not on 1871 census so born after that. Also cannot find any of the family after 1881

1881
Name: Mardelham Sharp
Age: 10
Estimated Birth Year: abt 1871
Relation: Daughter
Father's Name: George Sharp
Mother's Name: Sarah Sharp
Gender: Female
Where born: Eagle, Lincoln, England
Civil parish: Lincoln
County/Island: Lincolnshire
Country: England
Street Address: 3 Brayford St

Occupation: Scholar
Registration district: Lincoln
Sub-registration district: Lincoln Home
ED, institution, or vessel: 14
Neighbors: View others on page
Piece: 3240
Folio: 78
Page Number: 8
Household Members:
Name Age
George Sharp 36
Sarah Sharp 31
Mardelham Sharp 10
Sarah Sharp 8
George Sharp 4

Thanks in advance

She is born in Eagle, so should appear on free bmd under Lincoln.
Not obvious for a Sharp birth. Also Sarah not showing?

1871 for ref:
1871 England Census
George Sharpe Age: 25 Estimated Birth Year: abt 1846
Relation: Head
Spouse's Name: Sarah Sharpe
Gender: Male Where born: Thornton, Lincolnshire, England
Civil parish: Eagle County/Island: Lincolnshire
Country: England Registration district: Lincoln
Sub-registration district: Lincoln South
ED, institution, or vessel: 8 Household schedule number: 120 Piece: 3365 Folio: 74 Page Number: 22
George Sharpe 25
Sarah Sharpe 21
Source Citation: Class: RG10; Piece: 3365; Folio: 74; Page: 22; GSU roll: 839362.

I have checked freebmd and there as you say no obvious matches. I have the marriage of Sarah and George in 1870 in Lincoln itself. She was Sarah Smith and it is the Smith line I am tracing. (Father John Smith !!!)

Jennifer

Yes in 1871 it is down as Sharpe so have checked that spelling also. She and her husband are next door to her parents in 1871