Me again,
Well it didn't take too long to do some research on squash insects.  I think we have squash bugs and squash beetles.  The squash bugs looked like they would be up to no good at all.  I also saw the squash beetle, at least one, but thought it was a ladybug and everyone knows they are good insects.  Very sneaky of it to look like a lady bug.  Oh bother! 

The recommended remedy was chemical so we can't do that.  There was a practical approach to squash bugs.  The co-op extension article I was reading suggested that squash bugs are very skittish and like to hide if detected.  The picture sure looked like them, but also we had observed that skittish behavior.  It suggested if you put a square of heavy cardboard at the base of the plant and then rattled their cage (the squash plant), they would all scurry to hide under the cardboard piece which you could pull up and squash (hmnn... I just made a pun).. them dead.  I think it will be an interesting experiment.  I do hope no one here thinks less of me for being cavalier about taking the life of the poor squash bugs.  I think the squash beetles might be more challenging, no mechanical solution suggested other than picking them off and drowning them.  That could get awkward if someone thought you were doing in lady bugs.  The good news is the garden is winding down and in the case of both insects, they propagate by laying seeds on the vegetation to winter over.  So seeing as how everyone has to get every last bit of vegetation out of there end of season, that should take care of that!  I learn lessons about gardening every day!