I seem to be accumulating a number of web pages about storms and floods in the 18th century, mostly based on reports from the Newcastle Courant, so here's an index page:

1734-5

1736-7

1738-9

Volcano Seasons, 1783-6 (part from Cumberland Pacquet)

1794 (part from Cumberland Pacquet)

1795-6 (from the Cumberland Pacquet)