My baby is nearly six months old and is a really bad at sucking her fingers, not just her thumb, her full four fingers. She has done it since she was born but now teething doesn't help! So during the night she sucks it in her sleep and it gets wet so then it goes freezing cold and by the morning they are like ice!! I've tried pulling over the mitts on the babygrow and then a sock or mitten on top but she takes the mitten off and sucks through the babygrow and it makes it worse! Any help or tips needed ??? Does anyone else experience this? I replace her hand with her dummy as much as I can but as I'm sleeping too it's hard to be there all the time!! Xx