I logged this problem on the Arduino Forum and got a number of suggestions with the ever present check of power high among the suggestions. In fact, when I am on battery power I do have more problems as I am having power regulation issues. This said, the problem does not go away when on wall power.
The thing that has most seemed to help was suggested by "Pluggy" and that was to add the following to the bottom of "/etc/network/interfaces":
I could not find a lot of documentation about this entry on the web though what I read implied that it disabled a standby power down. This would make sense in terms of it helping if my drops were during periods of inactivity...but they are not...and it helped!
Not sure why but I guess one should not look gift horses in the mouth as my connection is very much more stable!?!?
Here is the whole thread on the Arduino Forum (which is a very useful place).