Are you copying your data to a network share? What OS are you using?
The issue can usually be observed on old Windows systems: https://social.technet.microsoft.com/Forums/windows/en-US/43a8805e-d3b3-4525-87b9-13d4547ce404/error-0x800705ad-insufficient-quota-to-complete-the-requested-service?forum=itprovistanetworking

First I'd suggest to try increasing your virtual/physical memory size and run backups during non-working hours, since the issue might be related to heavy load on the system. If that fails it would be better to send logs to support via tools > diagnostic menu.

Data is going to a BackBlaze online account. OS is Windows Server 2008 R2. Server is barely used. it is the prior ERP server that is only access for historical use. It is a virtual on ESXI. It backed up last month and all daily partials for this month.
Hmm. Ok, I will look at the MS link right after lunch. Might be something there. Thanks for the info.

Can you clarify if SQL Server is installed on this OS. If so, please have a look here: https://support.hpe.com/hpsc/doc/public/display?docId=mmr_kc-0120740

Pervasive PSQL verson 11.xx is installed but server shows 6 out of 32 gig ram allocated being used.??? No Microsoft SQL.

Thanks for the update. I'd like to suggest you open a Support Ticket with us for better tracking and problem resolution: https://www.msp360.com/support.aspx

I see you'vre created a ticket regarding that and one of my colleagues provided some suggestions. Let us know if any further support assistance is required.