Quitclaim Deed

Dear Len & Rosie,

My mother-in-law wants to quitclaim her house to my husband, but she doesn't want my name placed on the deed. I guess she is afraid that in a divorce I would take half of the house. We have two young children and another house in both my husband's and my name so I'm not really bothered by this development. Should I be? Should I request that my children be put on the deed? Is this possible?