In general, this is not about biology and fossils. Sighting reports of pterosaurs make this a study in cryptozoology. (And dinosaurs are distinct from pterosaurs, which are sometimes called "pterodactyls.")
Modern Pterosaur
Without any preconceived notions about precisely how a modern pterosaur might or might not differ from one known from typical pterosaur fossils, let us be open minded in the study of these sightings.