Use:
netstat -n -o
That will show the process ID and from there you can either look in the Task Manager's process viewer, go to menu View → Columns... and check the Process ID (PID). Then you can see the name of the process listening on that port.
Of course, you're wanting a programmatic way of accomplishing this and the GetTCPTable2 API is best as was already suggested. In fact, if you look at the IAT (Import Address Table) for netstat.exe, it actually uses that API to get that information.
There is a way to communicate directly with a command window and get its output using pipes and it would work fine, but the ideal way is to simply use the same API netstat uses.