Binding Silverlight UserControl custom properties to its' elements

I'm trying to make a simple crossword puzzle game in Silverlight 2.0. I'm working on a UserControl-ish component that represents a square in the puzzle. I'm having trouble with binding up my UserControl's properties with its' elements. I've finally (sort of) got it working (may be helpful to some - it took me a few long hours), but wanted to make it more 'elegant'.

I've imagined it should have a compartment for the content and a label (in the upper right corner) that optionally contains its' number. The content control probably be a TextBox, while label control could be a TextBlock. So I created a UserControl with this basic structure (the values are hardcoded at this stage):

    <UserControl x:Class="XWord.Square"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation" 
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    FontSize="30" 
    Width="100" Height="100">
        <Grid x:Name="LayoutRoot" Background="White">
            <Grid.ColumnDefinitions>
                <ColumnDefinition Width="*"/>
                <ColumnDefinition Width="Auto"/>
            </Grid.ColumnDefinitions>

            <Grid.RowDefinitions>
                <RowDefinition Height="Auto"/>
                <RowDefinition Height="*"/>
            </Grid.RowDefinitions>

            <TextBlock x:Name="Label" Grid.Row="0" Grid.Column="1" 
                Text="7"/>
            <TextBox x:Name="Content" Grid.Row="1" Grid.Column="0"  
                Text="A"
                BorderThickness="0" />

        </Grid>
    </UserControl>

I've also created DependencyProperties in the Square class like this:

     public static readonly DependencyProperty LabelTextProperty;
     public static readonly DependencyProperty ContentCharacterProperty;

     // ...(static constructor with property registration, .NET properties
     // omitted