You can use the :first or the :first-child selector. For only the last you should use the :last selector.
For any other element you can use the index of the element. jQuery will create an array of all the elements he finds with append-something class. So the first element will be index of 0.
$("#trigger-first").click(function() {
// ":first" and ":first-child" will work.
$(".append-something:first").append("Some Stuff");
});
$("#trigger-last").click(function() {
// ":last" for last option.
$(".append-something:last").append("Some Stuff");
});
$("#trigger-second").click(function() {
// It will return an array of item so you can request on index.
$($(".append-something")[1]).append("Some Stuff");
});