WILLIAM BROWN - Pte, West Kent Militia

[acher1]

I'm hoping someone can point me in the right direction.
WILLIAM BROWN married DIANA PRIGMORE 3 June 1793 at Elstow, Bedfordshire.  When their first child WILLIAM JOHN BROWN was baptised on 12 July 1795 at Elstow, apparently he stated he was a Pte in West Kent Militia.
Is it possible to find out where in Kent he was born etc.  I thought there may be records of his admission in West Kent Militia that would give who his parents were and when & where he was born.
Any help would be much appreciated.
                            Carol B.  (Qld., Aust.)