According to the NMLS, it should be possible if TN allows it:
Can a dually regulated MLO do loans for both a mortgage company and a bank?
ANSWER
There can be some interesting situations when banks and mortgage companies get together. Let’s say there is a scenario where Main Street Bank buys ABC Mortgage. Both Main Street and ABC Mortgage are working throughout New England. And let’s say Bob used to work for ABC Mortgage and held licenses all over New England. But now that Bob is connected to Main Street Bank, he can work directly for them and use one Federal Registration to do business all over New England under Main Street Bank. But for some reason he also kept his state license active in New Hampshire, and that license is sponsored by ABC Mortgage. Bob is dually regulated. Because of this, Bob is able to: 1. Originate for Main Street Bank anywhere that Main Street operates, or 2. Originate for ABC Mortgage in New Hampshire. What Bob cannot do is originate for ABC Mortgage outside of New Hampshire, because his connection to ABC Mortgage is only through his New Hampshire license. If Bob originates a loan in Vermont, he must do so through Main Street Bank.
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