I believe what you're looking to do is overwrite the XAML surrounding the <TabPanel> in the default TabControl.Template. I've done this once in the past and it wasn't too bad.
If you have Blend you can easily create a copy of the TabControl.Template to modify, or you can find an example MSDN template here and work from that.
If you work from the MSDN example template, just wrap the <TabPanel> in something else such as a DockPanel, and add a <TextBlock> with your company name to it.
<Style TargetType="{x:Type TabControl}">
...
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type TabControl}">
<Grid KeyboardNavigation.TabNavigation="Local">
<Grid.RowDefinitions>
<RowDefinition Height="Auto"/>
<RowDefinition Height="*"/>
</Grid.RowDefinitions>
<DockPanel Grid.Row="0">
<TextBlock Text="Company Name" DockPanel.Dock="Left" />
<TabPanel Name="HeaderPanel" IsItemsHost="True" ... />
</DockPanel>
...
</Grid>
</ControlTemplate>
</Setter.Value>
</Style>