How do I get the name of a property from a property in C# (2.0)

class Whotsit
{
    private string testProp = "thingy";

    public string TestProp
    {
        get { return testProp; }
        set { testProp = value; }
    }

}

...

Whotsit whotsit = new Whotsit();
string value = GetName(whotsit.TestProp); //precise syntax up for grabs..

/// <summary>
/// Populates an object from a datatable where the rows have columns called NameField and ValueField.
/// If the property with the 'name' exists, and is not read-only, it is populated from the
/// valueField. Any other columns in the dataTable are ignored. If there is no property called
/// nameField it is ignored. Any properties of the object not found in the data table retain their
/// original values.
/// </summary>
/// <typeparam name="T">Type of the object to be populated.</typeparam>
/// <param name="toBePopulated">The object to be populated</param>
/// <param name="dataTable">'name, 'value' Data table to populate the object from.</param>
/// <param name="nameField">Field name of the 'name' field'.</param>
/// <param name="valueField">Field name of the 'value' field.</param>
/// <param name="options">Setting to control conversions - e.g. nulls as empty strings.</param>

public static void PopulateFromNameValueDataTable<T>
        (T toBePopulated, System.Data.DataTable dataTable, string nameField, string valueField, PopulateOptions options)
    {
        Type type = typeof(T);
        bool nullStringsAsEmptyString = options == PopulateOptions.NullStringsAsEmptyString;

        foreach (DataRow dataRow in dataTable.Rows)
        {
            string name = dataRow[nameField].ToString();
            System.Reflection.PropertyInfo property = type.GetProperty(name);
            object value = dataRow[valueField];

            if (property != null)
            {
                Type propertyType = property.PropertyType;
                if (nullStringsAsEmptyString && (propertyType == typeof(String)))
                {
                    value = TypeHelper.EmptyStringIfNull(value);
                }
                else
                {
                    value = TypeHelper.DefaultIfNull(value, propertyType);
                }

                property.SetValue(toBePopulated, System.Convert.ChangeType(value, propertyType), null);
            }
        }
    }

// I wish...
MemberInfo member = infoof(whotsit.TestProp);

Expression<Func<string>> = () => whotsit.TestProp;

class Program
{
    static void Main()
    {
        string propertyName = GetName(() => AppDomain.CurrentDomain);
        Console.WriteLine(propertyName); // prints "CurrentDomain"
        Console.ReadLine();
    }

    public static string GetName(Expression<Func<object>> property)
    {
        return property.Body.ToString().Split('.').Last();
    }
}

Type t = whotsit.GetType();
PropertyInfo[] pis = t.GetProperties();

class TestClass
{
    private string _field;

    public string MyProperty
    {
        get { return _field; }
    }
}
class Program
{
    static void Main(string[] args)
    {
        TestClass test = new TestClass();
        PropertyInfo[] info = test.GetType().GetProperties();
        foreach(PropertyInfo i in info)
            Console.WriteLine(i.Name);
        Console.Read();
    }
}

Whotsit w = new Whotsit();
XmlSerializer xs = new XmlSerializer(w.TestProp.GetType());
TextWriter sw = new StreamWriter(@"c:TestProp.xml");
xs.Serialize(sw, w.TestProp);
sw.Close();