HTML
<div id="wrapper">
<div id="object1">
<img src="https://dl.dropboxusercontent.com/u/682110/person1.png" width="100" height="100" />
</div>
<a class="button" href="#" >Register</a>
<div id="object-bg"></div>
</div>
JS
$("#object-bg").mouseenter(function () {
$("#object1").delay(100).fadeIn(100);
$(".button").delay(500).fadeIn(100);
});
$("#object-bg").mouseleave(function () {
$("#object1, .button").css("display", "none");
});
I have set up a basic demo here: http://jsfiddle.net/jesseyuen/4FPfG/4/
As the button and user image is not the part #object-bg, hovering them will result in triggers of mouse leave event
use this html instead
<div id="wrapper">
<div id="object-bg">
<div id="object1">
<img src="https://dl.dropboxusercontent.com/u/682110/person1.png" width="100" height="100" />
</div>
<a class="button" href="#" >Register</a>
</div>
</div>
now you can right the css again for re-positioning them here is the Demo Fiddle