...the British leadership expected to have to defend Canada at a 1 to 3 force ratio at a minimum and, more likely, at 1 to 6 odds.
Let's take that "more likely" and examine it closer. In the first case I'm not at all sure it's credible, but let's take some lowball and highball estimates of militia numbers, and add the British regulars to them.
1) Lowball.
The Province of Canada only produces 38,000 militia and 5,000 volunteers.
Total regulars alerted to move to Canada 18 battalions, of which 8 battalions actually sent. Pro rata this is about 25,000 regulars in Canada, counting other arms (21 infantry battalions) -nb. this number may be low.
Grand total 68,000. This is the minimum sensibly expected number of troops in Canada, as it completely ignores New Brunswick and Nova Scotia and assumes prewar callouts are it.
3:1 force ratio means about 200,000 American troops needed. 6:1 ratio means about 400,000 US troops needed.
2) Highball.
Province of Canada mobilizes 50,000 militia and 10,000 volunteers.
The Aroostock War saw 8,000 New Brunswickers and 25,000 Nova Scotians mobilized, so use the same again.
27 battalions left at home, call out the militia at home and send another tranche of battalions (18), while also sending battalions from the Mediterranean and other colonies (1/21, 1/14, 2/5 (West Indies and Mauritius) 2 of the 3 Corfu battalions, 4 of the 5 Gibraltar battalions, 4 of the 6 Malta battalions) for a total of 13 more. Total 52 battalions, which with other arms comes out at roughly 60,000 regulars. -nb this number may also be low.
Grand total 153000, which is not beyond the bounds of possibility as in most cases it relies on extant numbers; it's also about 90000 total Canadians mobilized, which is 1 in 30 of the population, where the Union pulled together about 1 in 14 at times.
This is a number for which a 3:1 ratio is 450,000 troops and a 6:1 ratio is 900,000 troops. This is of course completely impractical - heck, it takes 180,000 troops just to engage the regulars at 3:1 odds.
3) Overload limit.
Williams gets his 100,000 from the Province of Canada, along with 5,000 regulars.
New Brunswick and Nova Scotia both have roughly 60% population increase since 1838 (358,000 total goes to 582,000 total) so militia size goes up to about 53,000 between the two
Newfoundland + Prince Edward Island total size 200,000, they contribute 5,000 between them
Full militia and volunteer callout at home, plus draw down from India by 15% to get more regulars. 70 battalions sent, about 80,000 regular troops. (very roughly 1/3 of the total standing army)
Sum total 243,000, of which 163,000 Canadian - a rough mobilization of 1 in 18. This is the maximum you could get without getting frankly a little bit silly, where "silly" means sending over British militia (though it happened in the Boer War).
To put 6:1 force against this would mean instantly making peace with the Confederacy, tripling the size of the army, and sending it all north.
The
report of Gunner John A. MacDonald lists 4 steel shot, 48 cast iron shot, and 52 20lb charges as having been expended against the Tennessee. Not only is it impossible to double-charge a gun to 50lbs with 20lb charges, but he fired 52 charges and 52 shot.
It also raises the question of why there were 20lb charges if we're assured the full authorized charge is 30 lbs.
Manufactured for the navy since March 1 1861:
Powder from foreign nitre: 2,676 tons
Powder from domestic nitre: 260 tons
Purchased from individuals: 44 tons
I make that 90% of nitre that was foreign sourced rather than domestic, and this the aggregate two and a half years into the war and nearly two years after the Trent crisis revealed US vulnerability to foreign nitre sourcing.