$(this).parent().prev().append("This is uncle");
You could use $.parent
and $.prev
assuming your uncle is always above your father:
$(this).parent().prev(); // where 'this' is #me
You could also go all the way up to your grandfather, and find uncles from there:
$(this).parents("#grandfather").find(".uncles");
Or you could search your father's siblings:
$(this).parent().siblings("#uncle");
I would encourage you to read the Traversing portion of the jQuery API for various other methods.
var uncle = $('#me').parent().prev();