For example, use a counter :
$i = 0;
/*the desired row index. 1 is the index of the 2nd row*/
$n = 1;
/* a variable to hold all the data from the row are looking for */
$therow=array();
while($row=mysql_fetch_assoc($result)) {
if ($i ==$n) {
$therow=$row;
break; /*row found : we exit from the loop */
}
$i++;
}
You can now access all your fields through $therow["id"], $therow["headline"] or whatever are your field names.
The above code is self-explanatory I think.