Emma Meek (General)
Sue,
Emma Meek appears twice on the 1851 census, once as you say with her "grandparents" Thomas and Sarah Hayward.
Emma also appears with her parents Richard Meek and Jane Simmon[d]s but is recorded as Emey along with her sister Mary Ann Meek aged 2
The connection when listed with her "grandparents" is that Sarah Hayward is her blood grandmother, born Sarah Stephens c1789 she married William Simmonds, 23 March 1812 before marrying Thomas Hayward, 04 April 1826.
Jane Simmonds, who married Richard Meek was born to William Simmonds and Sarah Stephens in 1812, baptised 12 July 1812
Regards
David
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