The theme has 5 header types that be be used.  The header type can selected from Theme Options-General-Header

Header Type 4 – is vertical – left and open by default

Below you can find the steps to set the header type

Select type 4:

header-4

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.

vertical-menu-widgets

This is how it looks in front end – http://rome.wpresidence.net/