« Reply #15 on: Monday 24 April 17 19:01 BST (UK) »
Phoebe's origins haven't been found, so illegitimate or no the options are
Birth not registered
Baby not baptised
Birth and baptism under a different christian and/or surname
Baptism recorded in parish register not yet checked*
Baptism recorded in parish register which is incomplete/damaged
To rule out * the old fashioned way would be to start in a given location (Leek or Derby) and working in a circle outwards, check every church in every parish. Time consuming and a bit tedious, but I have known it to work.
Jane Ferniough looks promising. I have been able to follow her fortunes on familysearch pretty well. She went on to marry John Torr, a master blacksmith in 1853, have sons Henry 1854 and Arthur 1859 both born Beech. Arthur dies 1881 aged 22, John dies 1895 and Jane dies 1901 all bur Leek. They seem to have consistently attended St Lukes Church in Leek and in the 1881 census had a lodger, Alfred Campion who was an assistant curate there.
If Jane is Phoebe's mother I could see why she might have placed her with a 'child minder' and then having moved a bit 'upmarket', left her there. Coincidence about another Arthur too.
Derbys: Ward, Hopkinson, Bradley, Birds, Clarke, Taylor, Daykin, Gent, Vardy, Cotterill, Stocks, Godber, Dronfield, Charlesworth, Bonsall, Purseglove
Notts: Clarke, Freeman, Kitchen, Allcock, Housley, Swanwick, Berrisford, Farnsworth, Antcliffe
Staffs: Nutt, Bowring
Yorks: Holling, Fish, Kay, Hardy
Lincs: Plummer, Broughton, Wellbourne