I happen to own a copy of Vol.I of Adrian Caruana's book about English guns. While the shot diameter given for the Alderney wreck guns seems like a Falcon (3-1/2 pounds), the length and gun weight resembles a saker from the Revenge "cast away near the Isle of Azores in September 1591". There is the added benefit of being contemporary to the Alderney gun:
Sakers from the Revenge, all 7ft long:
13 cwt-3qtr-0lbs: 1540 lbs
14 cwt-3qtr-13lbs: 1665 lbs
15 cwt-1qtr-18lbs: 1726 lbs
15 cwt-1qtr-14lbs: 1722 lbs
16 cwt-1qtr-21lbs: 1841 lbs
14 cwt-2qtr-6lbs: 1630 lbs
16 cwt-0qtr-14lbs: 1806 lbs
13 cwt-1qtr-24lbs: 1508 lbs
The two Falcons are much smaller guns, although they are also 7ft guns:
8cwt-0qtr-21lbs: 917 lbs
8cwt-2qtr-19lbs: 971 lbs
Using my empirical equation for guns, I estimate a weight of 973 lbs for a 7ft long iron Falcon firing a 3-1/2 pound shot, which closely matches the Revenge guns.