QB Issue Resolution:

Edit the payment that pays the invoice and de-select the invoice and save the payment.

Then edit the invoice and fix the customer name to use the job.

Then edit the payment again and re-select the invoice to pay and save it.

Resolution for Issue 'How to move a paid invoice from a customer to a customer/job' available: Yes (Solved).
Source: Intuit Community forum.

How to move a paid invoice from a customer to a customer/job: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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