Why don't you bind the title property of the parent window to your control property?
Window x:Class="Window1"
xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
Title="Window Title" Height="500" Width="650" ResizeMode="NoResize" x:Name="us1">
TextBox Name="txtBlk" Text="{Binding Path=Title, ElementName=us1}"/>
/Window>