Second shot seems more generously exposed. This looks to me just like a straight flash unit, off to the camera right a short distance...nothing special, really....the light is somewhat hard, but since the doll is "small", the light is relatively larger than if it were a full-sized human subject. I've not been a fan of this type of pinpoint-sized eye catchlights...this lighting reveals a pretty fair amount of detail and gives some feeling of contour, due to the shadows it creates. This is not "pretty" lighting, and it does not seem to work as well with this delicate, high-shine subject all that well. The doll's hair for example, is VERY shiny, as is her pink gown...this lighting is not very flattering for this type of subject, but might actually be pretty good with something a bit more, shall we say, rustic, or masculine, etc.
This is the kind of lighting I think of when shooting with a single, small,bare flash unit held in the left hand, and connected to the camera with a pigtail flash connector cord. Of course, in this instance, the flash seems to be coming from the right hand side, so unless the image has been flipped...or you have a left-handed camera, or tripod-mounted the camera and aimed the flash with your right hand...well, anyway...yeah...it's fairly straightforward plain flash.