First, go download the iTunes COM SDK. Create a new project and reference the library. I don't know anything about the library you're talking about, but I imagine it's built off of the SDK, so you may already have a reference.
The C# source code snippet below should get you the name of your iPhone. If it doesn't work, try ITSourceKindDevice
instead of iPod.
iTunesApp app = new iTunesAppClass();
IITSourceCollection sources = app.Sources;
foreach(IITSource s in sources)
{
if(s.Kind == ITSourceKind.ITSourceKindIPod)
{
Console.WriteLine("Type: " + s.Name);
}