We closed through my husband's employer's mortgage company and he was just laid off before the first payment — should we say anything to them?

If you can still make the payment, you don't need to do or say anything. Your loan closed and funded. The employment that helped you qualify was verified as of closing, and a job change afterward doesn't unwind a funded loan, even when the lender is the same company your husband worked for. Keep making the payments on schedule and you're fine. The time to pick up the phone is if you reach a point where you genuinely can't afford the payment. At that stage, call the loan servicer (the company you send payments to), explain the situation, and ask what options exist, such as forbearance or a modification. Servicers deal with hardship regularly and would much rather work with you early than have you go silent. So the move now is to keep paying and, separately, focus on replacement income. Layoffs in the mortgage industry come in waves, and someone with recent experience there can often land somewhere else in the field. Protect the payment, line up the next paycheck, and the loan itself needs no handling today.