Jac,
You have Arthur's birthdate as 2nd Feb... and the year as 1906 ?
Does this mean you have his birth certificate?
There was another Arthur Simpson, born 1900, son of James and Jane Simpson of Windmill road, South Shields ? Still there on 1911 census.
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I notice you have posted both your queries on this family on the Northumberland board- although South Shields was in County Durham - definitely not a hanging offence, but you may be missing out on the knowledge of Durham Chatters !
Michael