Even while you are alive
Anyone can request custody of your children EVEN while you are still alive. I have gone through this myself. All they have to do is file for guardianship. But they can only be granted custody if you are an unfit parent and the other parent is not able to take care of them either. But if you don't show up to your hearing, you can automatically lose custody of your children. My mother-in-law has already tried this on me and my husband, thinking that since we had an unreliable car, we wouldn't make it to court, but we did. We lost our children again, however, and are still fighting to get them back. Hopefully your family is more supportive than my husband's and knows you are a good parent and is willing to help if you are having problems.