It can be assumed that you are referring to batiwtiw and not batitiw. Batiwtiw may mean a Cebuano term that refers to a kind of songbird or a dark-necked tailorbird, which can produce a diverse and elaborate bird song.
On the other hand, batiwtiw in Tagalog may refer to a bamboo percussion musical instrument that can be found in Mindoro. This instrument has a maximum length of 40 centimeters long and is played by striking its split end.