The trouble is with the way it's biased, the collector voltage will be heavily dependant on the Hfe. My guess is a couple of volts, at most, so far too low.
Reduce the resistor values and add a capacitor to keep the base bias constant, irrespective of the signal. See attached. For convenience, I just used a constant current source, rather than the LM350 circuit.
The circuit is fine for very low output levels, but will distort horribly, at higher amplitudes. Being class A it's also very inefficient and is a poor choice for driving a speaker. I've used a similar design, in a mic. pre-amp and it was fine, but wouldn't consider using it as a power amplifier!
Removing C2 will make it more linear, at the expense of gain. Another option is to AC couple a resistor from Q2's collector, to Q1's base, which will reduce the gain and the distortion, but not as much as removing C2.
