Lincoln has been slowing transitioning their nomenclature system from three letter (MK_) to actual names - MKX to Nautilus for example. The next-generation MKC, due in 2020 as a 2021 model will see its name change to Corsair.
Automotive News reports the name was announced last month to Ford and Lincoln dealers at a conference held in Orlando according to those who attended the meeting. Corsair, the name of a pirate ship and a World War II fighter plane first came to light last year when Ford filed a trademark on. The name was last used on a badge engineered model between Ford and Nissan for Australia.
Sources at Ford said the name isn't final and could change before the model goes into production.
Source: Automotive News (Subscription Required)