The last certain members of the imperial line of the Palaiologoi died out in the 16th century, but female-line descendants survive to the present day. A cadet branch in Italy, the Palaeologus-Montferrat, ruled the March of Montferrat until 1536 and died out in 1566. Because the family was extensive before it produced emperors, the name Palaiologos was legitimately held not only by nobles part of the actual imperial dynasty. As a result, many Byzantine refugees who fled to Western Europe in the aftermath of Constantinople's fall possessed the name and in order to earn prestige, some fabricated closer links to the imperial family. While the genealogies of many supposedly surviving branches of the imperial dynasty can easily be dismissed as fantasy, others, such as the genealogy of a lineage from Pesaro which survived until at least the late 17th century, are more plausible. Various lineages of Palaialogoi, whose relation to the medieval Palaiologoi and each other are unclear, survived into the modern period and thousands of people, particularly in Greece, still have the last name Palaiologos, or variants thereof, today.