In reply to Philip:
Fairly recently I experimented with freehostia.com. They have a free package which included a few whatever.freehostia.com domain names, a modest amount of storage space (enough for a website and a good few images, but not really audio or video), a few email addresses, and some form of database access. There were no adverts. It worked. I never had to contact customer support, but I imagine you'd get what you paid for if you did.
There are quite a few similar offers around the place. I daresay they are all very similar, and who's offering the best deal will vary month to month. If I was looking again, I'd just google for a comparison review - just make sure you can use your own domain, and they have a weebly installer - those are the features they might not have.
Or, if your internet connection can take it, use a dynamic DNS provider to point at the pi itself, and host the website on there.