It has me stumped too! I have tried to trace Arabella, like you I found the christening but nothing else?
I found this on the 1861 census - thinking it might fit your Matthew and Elizabeth, due to the Lythe connection, here goes:
Matthew Stonehouse, b.1801, Lythe.
Elizabeth, b.1809, Whitby.
Christopher. b.1827, Lythe,
Jane (Hind) b. 1857 Great Broughton/Little Broughton, (grand-daughter)
At the time of the census they all lived in Great Broughton.
Pels found an 1861 for Matthew Stonehouse but where are they in 1851?
??
Birth year differs and Matthews occ jet miner 1861
Could this be Matthew Stonehouse
1851 HO107; Piece: 2375; Folio: 61; Page: 51
George Coats 27
Mary Coats 29
George Coats 1
Matthew Stoneherrs boarder mar. 34 Lythe Iron Miner
1851c HO107; Piece: 2374; Folio: 667; Page: 3
Christopher Stonehouse 24 Barnby shoemaker
Ann Stonehouse sister 20
Is this Elizabeth with her married son Thomas
Marisough Pandan 52
Thomas Stonehouse mar. 22 Barnby Yorkshire
Mary Stonehouse 21
Elizabeth Stonehouse 49 visitor dittoed as mar.
1851 HO107; Piece: 2368; Folio: 556; Page: 7;
