Solved this one with a little help from W3schools. The code you need to remove the header image from pages in the twenty eleven theme is:
<?php
// Check to see if the header image has been removed
$header_image = get_header_image();
if ( ! empty ( $header_image ) && ! is_page () ) :
?>
Note the “!” before the conditional tag “is_page”. Apparently “!” is the PHP equivalent of “not true.” Hope that helps anyone else with this problem.
I’m still working on some of the things I talked about above. However my main question about putting an image on the same line as the twentyten menu was resolved via this great tutorial.