I looked as best I could through the database, and couldn't find anything quite right. The question was answered some years ago, but the code has changed mightily since then, and the solution no longer works...or maybe it's operator failure. The closest I could find was Toscho's answer here:
How to remove header images from all pages except the home page? skeleton theme
but that code doesn't quite line up, either. My site, such as it is, is www.woodlandcomm.com, and I'm using the latest rev of the 2011 Theme. If it helps I'm happy to post the code the header currently is using...I do have a child theme set up, but I don't know much about coding at all. I appreciate any hand holding...and thank you once again.