You can try setting up your HTML like this:
<div class="wrap">
<div class="image-cover">
<div class="corner">
<div class="content">
<h1>Title</h1>
<a href="#">Link</a>
</div>
</div>
<img src="http://dummyimage.com/300x300/ccc/ccc" />
</div>
</div>
And the jquery like this:
$('.corner').hover(function() {
$(this).addClass("corner-full");
$(".content", this).fadeToggle();
}, function() {
$(this).removeClass("corner-full");
$(".content", this).fadeToggle();
});