In your case, you presumably don't want to use grep, but add instead a negative clause to the find command, e.g.
find /home/baumerf/public_html/ -mmin -60 -not -name error_log
If you want to include wildcards in the name, you'll have to escape them, e.g. to exclude files with suffix .log:
find /home/baumerf/public_html/ -mmin -60 -not -name \*.log