« Reply #2 on: Saturday 19 May 12 22:19 BST (UK) »
There is a burial of a Joseph Archer in Leamington Priors on 3 June 1848 aged 45 years. You'd need to get the death certificate to find out if he had a somewhat unnatural death.
I'm not sure when the name Leamington Spa took over from Leamington Priors, sometime during the 19th century. If he did fall off a church spire in Leamington it would either have been All Saints, the main parish church, or St Marys which appears to have started sometime around 1839.
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