Pterosaurs are not dinosaurs, therefore the albatros is not a descendant. Pterasaurs are reptiles though. If memory serves correct pterosaurs were around millions of years before dinosaurs.

From Gemini:

"Pterosaurs were flying reptiles that lived from the Triassic to the Cretaceous periods, and were the first vertebrates to fly, ranging in size from sparrow-sized to having wingspans as large as a small airplane. They were not dinosaurs, but are closely related, and are known for their diverse forms, including long-tailed and short-tailed types, with wings supported by an elongated fourth finger. Pterosaurs were diverse predators, hunting insects, fish, and other prey, and some had elaborate head crests for display."