Believe it or not, this new 1998 Lincoln Town Car Signature Series for sale in Houston Texas, was called a Convertible Hardtop. Normal sedan with a vinyl top made to look like it was a convertible, and some others had Landau bars. The red car's vinyl top only covers the rear section, but I don't recall what it was called. They were customised by the dealer, not by Lincoln and were probably end-of-year run-out cars.