Kudos to you for following your dream, but I do have to say I'm fully against making it easier for people to move that which should stay on the web to native apps. We have web browsers for a reason.
the problem with mobile websites is that they have to compete with the app store. if an iphone user wants a train schedule, are they more likely to open up a browser and search google for "train schedule iphone" and scroll around clicking on random sites? or would they just open the app store, search for "train schedule" and easily see all available apps, ranked and reviewed, easily added to their home screen with a single click?
i run such a mobile website for metra trains (http://metra.jcs.org/) but because i have no native app in the ios or android stores, it doesn't see much traffic. i've thought about developing an app that just embeds a browser and goes to the site, just so it can be listed in the app store.
apple does in fact have a listing of mobile web apps at https://www.apple.com/webapps/ but i doubt most iphone owners even know it exists. it's also not very easy to use from mobile devices, strangely enough.