Insurance Question for the Pro's

When putting new insurance on house that is purchased subject-to, what is it that the insurance company would need to know in order to invoice the mortgage company…?

I would assume that they would need to know the insured (the trust and the trustee). I would not think they would need to know anything about our company, which is the beneficiary. I am just trying the find out the smartest way to not raise any red flags to the mortgage company about the sale.

This is assuming that the house is in a trust and that a new policy is being put into place rather than being additionally insured.

Any/all comments or questions are welcome and very much appreciated. Thanks everybody!!