Removing a URL from Search Results

[williammarlow]

I recently renamed a small photography company, and so I transferred the content to the new website, put a 301-redirect on the old website URL, and turned off hosting for that website.  But when I search for certain terms that the old URL used to rank highly for (branded terms) the old URL still shows up.  The old URL is "www.willmarlowphotography.com" and when you type in "Will Marlow" it often appears in 8th and 9th place on a SERP.  So, I have two questions:

First, since the URL no longer has a hosting account associated with it, shouldn't it just disappear from SERPs?

Second, is there anything else I should have done to make the transition smoother to the new URL?

Thanks for any insights you can share.

[SebastianCowie]

It will naturally with time. As you had the 301 redirect in place there's not much else that I would recommend aside from verifying both URL's within Google Webmaster Tools underneath Configuration there's an option to "change address". That tends to make the process a bit less painful.

If you've done that then there's really not mcuh else you could have done.

[williammarlow]

Thanks - yes, I forgot to mention that I did take those two steps, and I'm glad to know that there wasn't a whole lot more I could've done.  I