I don’t know about the php part, but you could instead insert a new version of the widget on each page/post and use static text for the page name. If you’re trying to do this in a sidebar or other widget area that appears on multiple pages (which I’m assuming is what you’re trying to do, you may have to go another route.
There’s a plugin (amr shortcode any widget) where you can add a widget and then get a shortcode that you can use in any page or post. Then you can hardcode the page/post name for each version you create.
I realize it’s not ideal, but it’s a work-around until you can figure out how to do what you really want.
