There was a visitation of the plague London in 1426.
Source: GOTTFRIED, Robert S (1978), Epidemic Disease in Fifteenth Century England: The Medical Response and the Demographic Consequences, Leicester: Leicester University Press.
There was a national epidemic that lasted from 1433 to 1435 and another 1438-1439.
Also there was a great epidemic of plague 1499-1500, in London and apparently also in the country.
Source: GOTTFRIED, Robert S (1983), The Black Death: Natural and Human Disaster in Medieval Europe, London: Robert Hale.