If you want to customize your About Me image widget, you can always just insert some custom HTML into the Text Widget. Below is an example of some custom HTML that will generate an about me image with a button.
<a class="image-hover" href="http://angiemakes.com"><img class="img-none" src="http://angiemakes.com/themes-demo/marykate/wp-content/uploads/2014/08/Untitled-3.jpg"></a><p class="sidebar-caption"> Hi! You're viewing the Mary Kate premium theme version by Angie Makes. Cheers! ♥ <br /> <a href="http://angiemakes.com"><input type="button" value="About Me" /></a> </p>
Follow the screenshots below to see how to insert your custom HTML.