Hi alchymyth, thanks for your response and suggestions.
I initially thought when I posted this thread that the comment link (to comment count) was working for comments counts of 1 or above, but not zero.
However, I just realized that the issue is NOT a comment count issue, that it's the first post on any page, regardless of the count. It just so happened that all of the posts I was looking at had zero comments AND happened to be at the tops of their pages.
Example: If you try to click through the comment link on the first post on this page:
You'll see that the background link works, but the comment count itself doesn't link to anything.
However, if you try any other comment count other than the first post on the page, both the background and the count will click through.
This appears to hold true regardless of how posts are sorted - main index, search results, category results, archives etc. - any format where multiple posts are to be displayed, the first one always doesn't work but the rest are fine.
Clear as mud?
I'm just learning the basics of php and theme development, so I'm not familiar with anchor points, but I'll go look them up and see if that may be a possibility for my issue.
Thanks again. I really appreciate your help.