The Blue-Headed Quail-Dove (Starnoenas cyanocephala) is a bird that is endemic to Cuba. The fact that it also has the common name of Blue-Headed Partridge-Dove gives you a clue that people have not been all that confident about what sort of bird it is - although there is consensus that it has a blue head!
This bird has a mainly cinnamon-brown body with a bright blue crown, black eye stripe, and a white facial stripe. This species lives mainly on the forest floor where it feeds on seeds, berries, and snails.
Some sources suggest "It is generally found in pairs" - but I think there were more than two of these birds around the feeders in Rocio's Gardens - Los Hondones, Cuba.