This is just a quick example I put together on a staging site rather than share client info/content.

The first thing I did was create the two new widget areas I wanted to use, one for the left, one for the right:

Both are using a the Visual Editor plugin widget, but any text or html widget will do. I’ve placed a telephone number/link in the left, and an email address/link in the right:

Once that’s done, you can pull the widgets in to the header 7 template.

Here’s the full content of the header-v7.php template I’m using in the child theme, in the “templates” directory. I’ve labeled the custom section that goes right above the “fusion-header” div.

 
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Here’s the css I’m using. The chances that this is all the custom css you’ll need are pretty slim. This is just showing some basics to get you started…. I didn’t do anything here to style it for mobile.

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Here’s the result: