Leaf Commercial Capital originates about $500 million in loans annually tied to equipment and software purchases.
Plimoth Investment Advisors, a firm owned by two mutuals in Massachusetts, is buying the business.
Joseph Greco previously served as CEO of Southern Connecticut Bancorp, which sold itself to Liberty Bank in 2013.
The Connecticut bank said a spike in business lending and residential mortgages gave its fourth-quarter earnings a boost.
TNB Corp., which plans to offer deposits to institutional investors, would not have branches or retail deposits.