I finally had a chance to upload the text to pastebin today. I apologize for the slow response time!
Here is the header text from my child theme:http://pastebin.com/hyEagGZU. It is identical to the parent theme header text except that I moved the yellow-highlighted lines 43-45 above line 46. They used to live between lines 50 and 51.
That said, I did a test to see what would happen and I replaced the child theme header text with the exact same text as the parent theme (with yellow highlighted lines back in their original spot.) When I did that, the menu issue still persisted.