The butterfly is a checkered white (Pontia protodice.) The flower is a gaillardia. Both the flowers and the checkered whites are abundant around Austin now.
This damselfly is a powdered dancer (Argia moesta) resting on a twig under a live oak canopy. Live oaks--at least those in Central Texas--lose and replace their old leaves in the spring, so it looks like autumn on the ground underneath.
(click photos to enlarge)