Hi Linda,
First of all, sorry for your loss.
as Bethers said, Search Engines will find anything that they have in their archives that is related to the search term "
www.bradkimball.com ". Since you have posted in that forum, they find this post and present it as one of the search results. On the other hand, your own site should also be among the result. If it isn't it might be because your site is very new and not indexed yet. This will come with time.
The good new is that Google (at least in Italy, Google results vary depending on the area from which the search was started) comes up with your site and no mention of the Chemocare site. Which means that your site has started being indexed by SE.
My site is
www.navaldesign.info. In the beggining, a search with this term was giving as results the links to my site from various forums and directories i had posted in, but my site was not included as an independent result. That was because it had not been indexed yet.. After 3 - 4 months, my site started appearing on it's own, though in the beggining it was at position 10 or 15 in the results. You see, what counts for SE is also the importance of each site (measured as number of pages, content, quality, and many more factors) so they were giving priority (in the results) to the references to my site from those forums and directories. Now it comes up at Nr 1, because i have brought my site at a good level, with many pages, and so on. Just be a little patient, this moment will come also for you.
I can suggest that you submit your site to MSN and Yahoo for indexing: this could help with indexing it faster.