Annulments still go through the Vatican. Since they will not recognize the marraige to begin with, the annulment will be denied. It is possible to have the marraige annuled by the church even when children are involved. My mother had one child when she requested an annulment from her first husband. It took 5-6 YEARS to get it and by then she was remarried with another child, but she did get it. I think there have been a couple of Kennedy's that have gotten annulments from the church even though they had children, in the past few years.

