The quickest way to tell if there is a vacuum-operated petcock is to read the valve positions.
If it says "PRIME", "RES", and "ON". There should be a vacuum line. If it says "OFF", "RUN", and RES", it does not have a vacuum-operated petcock.
I'd make sure you have fuel flowing to the carb itself as a first step by testing the fuel line. It could be that the float is not adjusted to allow fuel to flow past the valve as well. Check the adjustment and make sure fuel is filling the bowl.
If it says "PRIME", "RES", and "ON". There should be a vacuum line. If it says "OFF", "RUN", and RES", it does not have a vacuum-operated petcock.
I'd make sure you have fuel flowing to the carb itself as a first step by testing the fuel line. It could be that the float is not adjusted to allow fuel to flow past the valve as well. Check the adjustment and make sure fuel is filling the bowl.