There are no national data bases that track rental history.
If the landlord hadn't filed formal eviction charges against you with the courts, you weren't evicted.
The only place an eviction, or if you were ever sued for non payment of rent would show up is in your credit reports.
You are entitled to one free credit report per year from each of the three major credit reporting agencies by logging on the
http://www.annualcreditreport.com this is a free government sponsored site.