I experimented with some things and finally settled on this code fragment just before The Loop on the page:
<?php
if ($paged>1) {
$offsetAmt = ($paged-1) * 5;
}
else {
$offsetAmt = 0;
};
$queryStr = 'category_name=catName'.'&paged=' . $paged . '&offset=' . $offsetAmt;
query_posts($queryStr);
?>
Thank you very much for pointing me in the right direction.