Header Type 4 – is vertical – left and open by default
To set header type 4 navigate to Theme Options > General > Header and select type4 to Header Type? option.
The elements from menu can be edited from admin-Appearance-Menus
The vertical menu (type 3 and type 4) work with widgets. You can add widgets before and after menu from Admin -Appperance Widgets.
For example – the logo from demos is added as text widget and you can edit in admin – widgets.
This is how it looks in front end – http://rome.wpresidence.net/