Given that you are talking about social security benefits---such as retirement, disability or SSI payable to the person is jail, the answer is no----they/you may NOT continue to collect them any time the person is in jail/prison for an entire month or more. However any spousal benefits (such as retirement benefits that you collect based on a spouse's lifetime earnings) can be collected by an eligible spouse.
If you do not notify Social Security of the incarceration, at a minimum when you are caught, the benefits will end and there will be an overpayment assessment for every dime that was wrongfully taken while the person was incarcerated and you will get a bill for the overpayment. Even when he gets out, he may not get benefits until the overpayment is paid back. I'm sorry.
I understand that you may be disappointed by the Answer you received, as it was not particularly favorable to your situation. Had I been able to provide an Answer which might have given you a successful legal outcome, it would have been my pleasure to do so.
I wish you the best in 2011.
Because I help people here, like you, for a living---this is not a hobby for me, and I sincerely XXXXX XXXXX abiding by the honor system as regards XXXXX XXXXX I wish you and your family the best in your respective futures.