We still know very little about the life cycle and reproduction of pterosaurs. The few known fossilized eggs had leathery shells, and may have been left buried in sand or vegetation. Baby pterosaurs (“flaplings”) seem to have been superprecocial, highly developed and possibly even capable of flight very soon after hatching.
Whether any actual parental care took place is also a mystery. So this is a rather speculative idea — but still adorable.