Surely Morgans are neither convertibles nor cabriolets, they are roadsters.

A convertible (or cabriolet) is a car with a roof than you can take down if you want to. A roadster is an open car with a roof that you can put up if you have to.

Tim H.
1986 4/4 VVTi Sport, 2002 LR Defender, 2022 Mini Cooper SE