You're correct! MouseOver Border color is #FF7EB4EA; which is under TextBox.MouseOver.Border key. I don't think you'll be able to access these Resources from outside. You can get these details from default ControlTemplate for TextBox. Which is
<SolidColorBrush x:Key="TextBox.Static.Border" Color="#FFABAdB3"/>
<SolidColorBrush x:Key="TextBox.MouseOver.Border" Color="#FF7EB4EA"/>
<SolidColorBrush x:Key="TextBox.Focus.Border" Color="#FF569DE5"/>
<ControlTemplate TargetType="{x:Type TextBox}">
    <Border x:Name="border" BorderBrush="{TemplateBinding BorderBrush}" BorderThickness="{TemplateBinding BorderThickness}" Background="{TemplateBinding Background}" SnapsToDevicePixels="True">
        <ScrollViewer x:Name="PART_ContentHost" Focusable="false" HorizontalScrollBarVisibility="Hidden" VerticalScrollBarVisibility="Hidden"/>
    </Border>
    <ControlTemplate.Triggers>
        <Trigger Property="IsEnabled" Value="false">
            <Setter Property="Opacity" TargetName="border" Value="0.56"/>
        </Trigger>
        <Trigger Property="IsMouseOver" Value="true">
            <Setter Property="BorderBrush" TargetName="border" Value="{StaticResource TextBox.MouseOver.Border}"/>
        </Trigger>
        <Trigger Property="IsKeyboardFocused" Value="true">
            <Setter Property="BorderBrush" TargetName="border" Value="{StaticResource TextBox.Focus.Border}"/>
        </Trigger>
    </ControlTemplate.Triggers>
</ControlTemplate>
If you using Blend for Visual Studio, refer this to know how to access default Templates of any control. If you're using Visual Studio, you can check this.