Auto update pages when changing to left or right

I'm sorry if this has been answered somewhere, but I couldn't find anything after a bunch of different searches.  

I build a magazine every month with facing pages.  I've set up parent pages with headers at the top, but all of that is aligned with the outside edge of each page.  I command-click on the header's text box in a page based on the parents in order to add text to the header.  Is there any way for that text to automatically switch if the page moves from the left to right-hand page?  As it is now, if a page switches sides, I have the text box I edited, and then "locked" object from the parent page underneath it.  I can't figure out a way of Indesign knowing to just move the text where it should be based on the parent page template.