Read a process's standardoutput when it is about to close

I have managed to redirect the output of a console application to my WPF program using StandardOutput, but the console application sends data just before closing. Here is my code:

               ProcessStartInfo info = new ProcessStartInfo("c:/program.exe");

                info.RedirectStandardOutput = true;
                info.RedirectStandardError = true;
                info.RedirectStandardInput = true;
                info.WindowStyle = System.Diagnostics.ProcessWindowStyle.Hidden;
                Process process = new Process();

                process.StartInfo = info;
                info.UseShellExecute = false;

                process.OutputDataReceived += new DataReceivedEventHandler(
                    (s, e1) =>
                    {
//This is where I get an "Object reference not set to an instance of an object
                        if (e1.Data.Contains("USB connected"))
                        {
//Do stuff here
                        }
                    }
                );
                process.Start();
                process.BeginOutputReadLine();

I suspect this is because by the time the OutputDataReceived event has fired, the console application has closed, taking the data with it.

Even though I think I understand what is going on, I can't find anyone who seems to have had the same problem, and I have no idea how this can be fixed. Is there any way of stopping the process from closing itself automatically, and using Process.Kill() once I have the data?