Hi there, @MikeStrider.

The Account Name on a  distribution does not exist in Quickbooks [11110] error happens when there are errors or typographical errors in your IIF imported file most specifically on the account name. I'd be happy to help you import the file successfully to QuickBooks Desktop (QBDT).

To import the IIF file successfully, you must check the file first. Double-check the account names used, the spelling and any other typographical error. You must ensure that the names used exists and are acceptable in QuickBooks.

Once done, checking the file, try importing it again.

You can read this article to know more about importing/exporting IIF files in QBDT: Export or import Intuit Interchange Format (.IIF) files.

Please know that I'll be right here to help you have any other QuickBooks or importing questions. I'll be glad to help you!