Database Connection Error after large transaction

I have several hundred post (recipes) that are in draft status, when I attempt to bulk edit these post (20 at a time) to change the status to Published, the update works for a while then I get the error screen “Error Establishing A Database Connection”. However, when I check my site, the transaction has completed and the recipe posts’ status have ben updated.

I notice the same error and update result (successful update then error) after I post a draft from Live Writer.

This becomes a problem, because after the error appears the first time, then any read or write request to the database triggers the error for several tries, then it will work again (once) and fail again, and the cycle repeats.

Troubleshooting:
1. Checked Username, Password and DB Name in wp-config.php. In-fact changed password and updated wp-config.php file with both actual dbname and with new password. I can access site fine. https://www.cookingexchange.info
2. Contacted Host provider and they indicated that it was beyond them.
3. Tried from both IE (Rel. 11) and Firefox (38.0.5) to see if it could have been browser related – its not.