WPF Treeview Databinding Hierarchal Data with mixed types

I have a bit of a complex situation with WPF Treeview Binding. I have spent the last 2 days trying Google it, and this is the closed I came up with, but it doesn't solve the issue.

Here is the situation:

I have an object that looks like this:

public class Category
{
  public string Name { get; set; }
  public List<Category> Categories { get; set; }
  public List<Product> Products { get; set; }
}

public class Product
{
  public string Name { get; set;
}

Each Category can have a list of objects, and child categories. I have a reason for doing this that makes complete sense to me, and the app I am writing.

The actual object construction may look Something like this:

Category - Pharmacy
  |-Product - Aspirin
  |-Product - Tylenol
  |-Category - Tooth Paste
  |  |-Product - Crest
  |  |-Product - Colgate
  |-Category - Paper Products
   |-Category - Toilet Paper
   |  |-Product - NoName
   |  |-Product - Charmin
   |-Category - Facial Tissue
      |-Product - Kleenex
Category - Household
  |-Product - Pinesol Cleaner
  |-Product - Garbage Bags

Now, I am trying to databind this relationship to a treeview. I would like the TreeView to look almost identical to the above object construct.

So far I have my XAML Treeview look like this:

  <TreeView x:Name="CategoryList" Margin="8" Grid.Row="2" Grid.RowSpan="2" ItemsSource="{Binding Path=Categories}">
            <TreeView.Resources>
                <HierarchicalDataTemplate DataType="{x:Type src:Category}" ItemsSource="{Binding Products}">
                    <StackPanel>
                        <TextBlock Text="{Binding Path=Name}" />