There's only one matching birth registration between 1888 and 1892.
John George Peel...birth registered in the October, November, December quarter of 1889 in the
Newcastle Upon Tyne Registration District of County Northumberland...Volume 10B...Page 67
http://www.gro.gov.uk/gro/content/http://www.newcastle.gov.uk/communities-and-neighbourhoods/b...Problem with that is...
John George Peel...death registered in the January, February, March quarter of 1890 in the
Newcastle Upon Tyne Registration District of Northumberland...age 0....born 1890
Volume 10B...Page 7
So perhaps your John or the child weren't born in England or Wales, or perhaps your John was adopted, or perhaps your John didn't die in England or Wales, or perhaps...etcetera