Adding text to header. . . or is it the header?

For those that saw my other post, you know I copied and moved a site. It was using a very customized (and locked) theme, and I'm trying to re-create the look as best I can.

Here's the original site -

https://chellesbakeshop.com

In the same area as the logo, justified off to the right, is some contact text. I'd call this area the Header.

So I tried coming up with the same look on the new site -

https://chellesbakeshop.net

I went into Customize, and added the logo in Site Identity. So far so good. It appeared above the Nav bar in what, again, I considered the Header. I have "Hide site title" box ticked.

Still in Customize, I go into Layout/Header. There's no logo, nor any text showing.

I discovered the Header Element, so I'm using this to add the contact text off to the right of the Header. However, when I make it live and update the page, this text appears under my nav bar, not above it. Somehow, there's a block of text in a white box (Welcome to Chelle's Bake Shop!) that appears to be associated with this Header Element, and I have no idea where it's coming from. It's not on the Welcome page design, and I don't find it on the MetaSlider banner setup.

In the Header Element, when I choose "Merge" it puts the contact text above the Nav bar - hooray! But it drags the text-in-a-box up underneath the Nav bar.

So I added the logo in Layout/Header and removed it in Site Identity. Now it's totally gone - Sir Not Appearing In This Movie. What the heck am I doing wrong?