Yes I have David Lyons book, but there are some inaccuracies.
Princess Charlotte was launched july/august of 1814. She was renamed Burlington but not until October as she was in Ordinary. There would have confusion as a nother ship was the Princess Charlotte.
As far as the Psyche her keel was laid September of 1814 and launched December 24th of that year.
She was to have 28 -28 pounders on the gun deck but only 26-30 pounders on the upper deck.
This all confirmed by Thomas Mossington who was in charge of pay and acquisitions. I have his papers and he did keep a pretty detailed accounts of both pay and what was need in dispersments for each ship.
If you look in the book, British smooth bore armament, they did make 28 pounders.
A lot of supplies for the ships in North America were salvaged of of old or damaged ships. Not necessarily on the lakes. Ships docking at Quebec, or Nova Scotia, that were beyond fixable were torn down for their supplies.
Example, cordage, sails etc., came from ships docked at Quebec for use on the lake ships.