Can you tell me what the systematic name for a compound which has a carbon attached to a phenyl, a double bonded oxygen, and a single bonded oxygen and then a 3 carbon chain is attached to the single bonded oxygen?

What you have described is n-propyl benzoate; however, I DON'T know if that is the systematic (IUPAC) name or not. I THINK benzoate is acceptable under IUPAC guidelines. Here are a couple of sites that seem to back that.

http://en.wikipedia.org/wiki/IUPAC_nomenclature_of_organic_chemistry#Carboxylic_acids

http://en.wikipedia.org/wiki/Ester