Hmm. I can’t really test it with the Twenty Fifteen theme because it doesn’t have a header in the same area. In that theme, it’s on the top left of the page, whereas with Shamrock, it’s across the whole top of the page. I tried going live with the Twenty Fifteen version of the site instead, and the AdSense plugin was suggesting ads in the area where the posts are, not in that top left corner.
I’ve been monkeying around with it more, and I’ve found that I can place an ad at the very top of the page, before my header content, and I can also place it in between my header image and the menu bar, but where I want it is just below the menu bar. AdSense shows it as an option, but that’s the spot where it only shows in the preview and never shows on the live page. So frustrating.
I guess if I can’t find a fix for it, I will put the ad between the header image and the menu bar, but it just looks really dorky there, and breaks up the visual continuity of the header area.