Thanks for the reply. I'm no programmer, but it would seem title and description fields should not be that hard to integrate into the search function.
For now I have found a workaround.
For example, when searching for the word 'Coronado' at the domain 'artglassandmetal.com'
This page is included in the Startpage (Google) results:
The reason the above page shows up in the search is that that page is a standard Joomla article, and I have used the plugin 'Components Anywhere' to embed this gallery into the article:
(Interestingly, if one checks the page code for the above gallery link, the word 'Coronado' appears many times in the code. Then again, I'm past the limit of my knowledge of how search functions work.)
In any case, for now embedding the event component into a Joomla article with Components Anywhere seems to be the best workaround.
Hope this helps!