The State Library Of Queensland has spent some time researching the origin of "Betoota" and has replied (in part) as follows:
"I regret that I have been unable to locate the origin of the place name "Betoota". I have searched a wide range of resources including the Place Names website, histories of the local area, gazetters and Internet but have had no success"
State Library of Queensland.
I do thank Karen at the State Library for her research