Well done Gaunty, but if I may correct a few minor details.
In a gas turbine the compressor compresses the air, it is mixed with the fuel and ignited (burnt)
in the combustion chamber.
The turbines do all the work in a jet gas turbine engine (they turn the compressor), in a Turbine Prop (as you correctly said) they have to turn the propeller as well as the compressor.
Halibut, what a great way to get everyone else to do your research for you !!!!