Using ItemTemplate for a TreeView when adding items in code

I'm adding TreeViewItems manually in code behind and would like to use a DataTemplate to display them but can't figure out how to. I'm hoping to do something like this but the items are displayed as empty headers. What am I doing wrong?

XAML

<Window x:Class="TreeTest.WindowTree"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    Title="WindowTree" Height="300" Width="300">
    <Grid>
        <TreeView Name="_treeView">
            <TreeView.ItemTemplate>
                <DataTemplate>
                    <StackPanel Orientation="Horizontal">
                        <TextBlock Text="{Binding Path=Name}" />
                        <TextBlock Text="{Binding Path=Age}" />
                    </StackPanel>
                </DataTemplate>
            </TreeView.ItemTemplate>
        </TreeView>
    </Grid>
</Window>

Behind code

using System.Windows;
using System.Windows.Controls;

namespace TreeTest
{
    public partial class WindowTree : Window
    {
        public WindowTree()
        {
            InitializeComponent();

            TreeViewItem itemBob = new TreeViewItem();
            itemBob.DataContext = new Person() { Name = "Bob", Age = 34 };

            TreeViewItem itemSally = new TreeViewItem();
            itemSally.DataContext = new Person() { Name = "Sally", Age = 28 }; ;

            TreeViewItem itemJoe = new TreeViewItem();
            itemJoe.DataContext = new Person() { Name = "Joe", Age = 15 }; ;
            itemSally.Items.Add(itemJoe);

            _treeView.Items.Add(itemBob);
            _treeView.Items.Add(itemSally);
        }
    }

    public class Person
    {
        public string Name { get; set; }
        public int Age { get; set; }
    }
}