I am sure that what I seek is actually here and I am just not finding it, but for VV2 there was a screen shot of the completed collectables board. Is there one of those for VV3 somewhere?

You can look on your computer under (My) Computer-->C:drive-->Program Files->Virtual Villagers: The Secret City-->Image Files for the Collectibles images

Possible Spoiler:

A screenshot of the various collectibles can be found here

Are the rare collectibles on a timer? Like do they appear only once every 12 hrs or 24 hrs or something? Please let me know if you know. If so, I will give up hunting for today and try again tomorrow. I just found a rare feather but it is not the one I need.

Collectibles are random.

Thanks. Sometimes it feels like the rare ones only appear once every 12-24 hrs but I did see two rare corals today so I will keep searching.