Not sure why Brisbanes Alma Park zoo is a problem. It is just Alma Park Zoo, named after the locality it is in. Mind you they will need to change their name next year
I think the 'Brisbane's' is unnecessary. People who visit the zoo are well aware that they are in Brisbane, and I doubt that the prefix makes more people aware of the place. I also included it with half an eye on next year. 'Logan's Alma Park Zoo' is surely a) a misnomer and b) a missed opportunity to re-brand the business. Just call it Logan Zoo.