get remote machine IP Address from process name

First you have to be able to log on the remote computer using windows credentials, I suggest you to take a look at this codeproject article Windows login

When you are logged in the remote computer :

Before using this you have to reference System.ServiceProcess and add the following using :

using System.ServiceProcess;
using System.Diagnostics;

You can now access to remote process with that, the exemple only show process name but you have a lot of properties on these items.

string remoteSystem = "RemoteSystem";
Process[] proc = System.Diagnostics.Process.GetProcesses(remoteSystem);

Console.WriteLine("Process running on "+remoteSystem+" :");
foreach (Process item in proc)
{
    Console.WriteLine(item);
}
Console.ReadLine();