The kids' names are Fūtarō (Fuutarou) and Raiha.
As we see here referencing this, they are named after the gods, resp, Fūjin (Fuujin) and Raijin.
I notice the gods have Izanami as a parent, and then Izanami apparently has a child with another god, Izanagi. So Isanari is named after Izanami or Izanagi, right?