Here are a Mary and a Sarah, born to parents William Mayhew and Elizabeth, both in Suffolk in roughly the right years---
If they turn out to be yours, you've got a surname for Elizabeth !
SARAH MAYHEW Pedigree
Female
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Event(s):
Birth:
Christening: 10 OCT 1824 Hacheston, Suffolk, England
Death:
Burial:
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Parents:
Father: WILLIAM MAYHEW Family
Mother: ELIZABETH BRIDGES
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Messages:
Extracted birth or christening record for the locality listed in the record. The source records are usually arranged chronologically by the birth or christening date.
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MARY ANN MAYHEW Pedigree
Female
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Event(s):
Birth:
Christening: 31 OCT 1813 Chattisham, Suffolk, England
Death:
Burial:
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Parents:
Father: WILLIAM MAYHEW Family
Mother: ELIZABETH
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Messages:
Extracted birth or christening record for the locality listed in the record. The source records are usually arranged chronologically by the birth or christening date.