How to create a WPF UserControl with NAMED content

I have a set of controls with attached commands and logic that are constantly reused in the same way. I decided to create a user control that holds all the common controls and logic.

However I also need the control to be able to hold content that can be named. I tried the following:

<UserControl.ContentTemplate>
    <DataTemplate>
        <Button>a reused button</Button>
        <ContentPresenter Content="{TemplateBinding Content}"/>
        <Button>a reused button</Button>
    </DataTemplate>
</UserControl.ContentTemplate>

However it seems any content placed inside the user control cannot be named. For example if I use the control in the following way:

<lib:UserControl1>
     <Button Name="buttonName">content</Button>
</lib:UserControl1>

I receive the following error:

Cannot set Name attribute value 'buttonName' on element 'Button'. 'Button' is under the scope of element 'UserControl1', which already had a name registered when it was defined in another scope.

If I remove the buttonName, then it compiles, however I need to be able to name the content. How can I achieve this?