, , ItemsSource DataContext. , ValueMember, SelectedValuePath (. ). DisplayMember DisplayMemberPath.
EDIT: , :
DataTable SelectedFields = ...;
listBoxVisibleFields.SelectedValuePath = "myID";
listBoxVisibleFields.DisplayMemberPath = "myTextField";
listBoxVisibleFields.ItemsSource = SelectedFields.DefaultView;
, XAML
<ListBox ... SelectedValuePath="myID" DisplayMemberPath="myTextField" />
.