Gunboat Nš 23 seems to be a "Commissioner Hamiltons Gunboat".
In this web is listed as included in the first batch of the 1808 gunboats: http://threedecks.org/index.php?display_type=class_search but you have to bear in mind that this is a "page in construction" and they update information as they find it. For example they donīt have individual data on the services of each gunboat of the class.
Here, in the napoleon series you can find this: http://www.napoleon-series.org/cgi-bin/forum/archive2009_config.pl?md=read;id=101095. It seems Stephen Summerfield would be able to provide more data to you.
Here you can see a model of an 1808 Hamilton Gunboat armed with a gun and a carronade: http://collections.rmg.co.uk/collections/objects/66308.html