public IList<string> FieldNames {get; set;}

{
  //Create a table frame.
  //Note: Must be on QueuedTask.Run

  //Build 2D envelope geometry
  Coordinate2D rec_ll = new Coordinate2D(1.0, 3.5);
  Coordinate2D rec_ur = new Coordinate2D(7.5, 4.5);
  Envelope rec_env = EnvelopeBuilderEx.CreateEnvelope(rec_ll, rec_ur);

  //Reference map frame and layer
  MapFrame mf = layout.FindElement("Map Frame") as MapFrame;
  FeatureLayer lyr = mf.Map.FindLayers("GreatLakes").First() as FeatureLayer;

  //Build fields list
  var fields = new[] { "NAME", "Shape_Area", "Shape_Length" };

  //Construct the table frame

  var tableFrameInfo = new TableFrameInfo()
  {
    FieldNames = fields,
    MapFrameName = mf.Name,
    MapMemberUri = lyr.URI
  };
  var tabFrame = ElementFactory.Instance.CreateMapSurroundElement(
    layout, rec_env, tableFrameInfo) as TableFrame;
}