Link the observable collection

How would I go about binding this in XAML?

I am looking to use an observable collection to populate a ListView ever time a method is called which will be through a drop event on another control. The collection is getting added too but the ListView won't populate.

I haven't been using WPF long so any insight would be great.

namespaceA
{
    public class SomeClassA
    {
        public string FirstName { get; set; }
    }

    public class SomeClassB
    {
        public void MethodA()
        {
            ObservableCollection<SomeClassA> Name_Col = new ObservableCollection<SomeClassA>();
            Name_col.Add(new SomeClassA { FirstName = "SomeValue" });
        }
    }
}

XAML:

 <ObjectDataProvider
    x:Key="Viewmodel"
    ObjectType="{x:Type Local:NamespaceA}"/>

 <ListView DataContext="{StaticResource Viewmodel}"
    Height="396"
    HorizontalAlignment="Left"
    Margin="766,67,0,0"
    Name="listView1"
    VerticalAlignment="Top"
    Width="260"
    ItemsSource="{Binding Name_col}" />

The only things you can access in bindings are public (internal doesn't work) properties and indexers of public classes.

And no matter how, variables declared inside a method will never be accessible from anywhere outside the said method. It's a common mistake people who used to work with scripting languages often make. To access something outside a method (or inside of another), that must be declared outside of the method.

One useful hint: Visual Studio's Output window is a very useful tool for tracking binding errors.

On a side note: Bindings are case sensitive. Even if your code followed the rules mentioned above, WPF would still not find the binding source, as your binding path is Name_col, but the property's name is Name_Col.