If the tax auditor thinks your property is updated, it could trigger higher quality rate for taxes.

When I go to check this, the first place I go is the auditor website (ours is easier to search than the recorder) to see whether the tax bill mailing address is to a bank. 

County auditor/appraisal site.

But because our books are audited, the auditors would want to see a beginning balance entered first, instead of forcing a reconciliation.I normally reconcile accounts month to month, as I found that's usually the best way as you can detect errors more easily.

County auditor may supplement.

However, in my one time getting an improvement loan, many years ago, I just needed to show the improvements already in progress or completed, and the auditor was satisfied.2) This is a new loan against the property, not necessarily with a favorable interest rate, so you're going to kinda hope the rental income covers at least most of the additional debt service.3) See your tax professional, but my understanding is that interest payments are not quite as deductible as they once were, so it won't be quite as beneficial against high taxable earnings.4) I believe the 203K loan is not available to apartment buildings with more than 4 units.

Cleveland Heights taxes are high, but based upon $11k tax bill, they have the property valued over $200,000It’s also possible that there are accrued penalties and delinquencies... or even some kind of special assessment.Go to the county auditor website and check the appraised value.

Some county auditor parcel data and a pivot table will be the only way you can answer this question...Once you have a firm profile of your city, you can start to make decisions based on the data...oversimplification, but you get the idea. 

Are you looking on the county auditor's website?

If not, I would look for a night auditor job on craigslist.