The Collaborative International Dictionary of English v.0.48:
Batfish \Bat"fish`\, n. (Zool.) A name given to several species of fishes: (a) The Malthe vespertilio of the Atlantic coast. (b) The flying gurnard of the Atlantic (Cephalacanthus spinarella). (c) The California batfish or sting ray (Myliobatis Californicus.) [1913 Webster]