One possibility would be via preg_match_all.
<?php
$output = "first line:756485683465<br/>";
$output.= "Second line:34263426<br/>";
$output.= "Third line:45684658<br/>";
if(preg_match('#(^|<br */>)(Second line:.*?(<br */>|$))#i', $output, $matches))
{
echo $matches[2];
}