Once again, thank you alchymyth for providing the information.
With some creative liberties to the code at the link supplied above, I found a recipe that works. I’ve attached my solution below. The most difficult aspect was finding how to have the link actually show up within my <div>.
Case solved.
<div class="pagination clearfix cew_buttonbox">
<table class="cew_prevnextbox3">
<tr>
<td style="float:left"><?php if(get_adjacent_post(false, '', true)) { echo previous_post_link('%link', '<div class="cew_button">< Older Post</div>'); }
else { echo ' '; } ; ?>
</td>
<td style="float:right"><?php if(get_adjacent_post(false, '', false)) { echo next_post_link('%link', '<div class="cew_button">Newer Post ></div>'); }
else { echo ' '; } ; ?>
</td>
</tr>
</table>
</div>
Very interesting. Thank you alchymyth.
I believe there is a solution in there somewhere. I will play with this tonight and report back on my success or failure soon.