When the moon hits your eye like a big pizza pie that's... Ahem.
Stadler called the instrument he used for the Mozart concerto a bass clarinet, I think. Of course since his time that name's been taken for an instrument which does actually play in the bass register. The name basset clarinet comes from the 1950s or so, about the time people such as Jiří Kratochvíl were pointing out that the surviving solo part in the Mozart concerto looked rather like a version of something originally written for another instrument.
Basset horn is a historical name, though, for a clarinet-family instrument in low F descending to a written C.
Historically they looked like this:
I don't have a historical one but my nice new Buffet looks like this:
Mozart started writing the concerto for a basset horn in G and a sketch survives of the first 190-odd bars. The piece finally moved up another tone to A major, for what we now call a basset clarinet. For quite a while it was a matter of complete conjecture what that instrument might have looked like. The concerto was performed on instruments looking more or less like long clarinets as well as on speculative reconstructions looking more like basset horns. In the 1990s a concert programme resurfaced, from one of Stadler's concerts. In it there's a picture of Stadler's instrument showing that it looked rather like a couple of other period basset clarinets which for some reason hadn't previously been explored as potential models for the Mozart pieces. Most period instrument performers of the piece now use reconstructions of that sort.
The description 'd'amore' (or 'd'amour') usually denotes an instrument in A or thereabouts, often with a pear-shaped bell as strina notes. (That kind of bell is indeed called a
Liebesfuß in German.) The oboe d'amore is the most common example but there are flutes and clarinets as well. It's not in itself inappropriate for the Stadler instrument but it wasn't a name used at the time and as far as I know none of the historical 'clarinettes d'amour' have the extension to low C.
Hm, yes, work...