I'm using Visual Studio 2013 V 12.0.3
I've created a folder inside my project and when I right-click on the folder and select "Add", I'm not seeing "Web User Control" in that menu. Does anyone know how I can get it back? It's typically listed right below "Web Form".
To find any template, simply do the following:
When the Add new Item dialog appears, type "web user control" (or whatever) in the search box in the upper right hand corner
In your case, "web user control" should show you the correct template. As mentioned in the comments, there's only one flavor of web user controls, and that's for web forms.