Habano wrapper refers to a seed family and a way of growing (in full sun) rather than to a single farm. The seed comes originally from Cuban tobacco. Since the embargo, the farms have been in Nicaragua, Ecuador, Honduras, and other New World countries. The leaf is usually darker and oilier than Connecticut shade, often in the colorado color range.
Habano does not mean the cigar is Cuban. A Nicaraguan puro can have a habano wrapper grown in Jalapa or Estelí, and an Ecuadorian habano wrapper can be used on a Dominican cigar. The country on the band tells you where it was made; the word “habano” tells you the seed and that the leaf was sun-grown.
Corojo and criollo are related Cuban-seed names, each with its own farming history. People often use these names interchangeably in casual conversation. This page uses habano as the general term for sun-grown wrapper from Cuban seed.