Conway was born in the Netherlands while his father, Sir Edward, was lieutenant-governor of Brill, and he was naturalized during the 1605-6 session of Parliament.
In November 1628 Conway was sent, apparently as a messenger, to meet the earl of Lindsey as he returned from the failed La Rochelle expedition. By 1630 he had become a gentleman of the privy chamber, doubtless through his father’s influence, but in July that year he obtained a licence to travel abroad. In his absence Viscount Conway died, bequeathing him a larger annuity of £140, though predictably he accumulated further debts on the Continent.
