Now I have time, so here goes.
1. The first thing that First Aid teaches is that you have to be in a position of safety before you can save others, otherwise you end up with an extra victim the authorities have to save. So the answer to this is that, through my definition, the mother was right to save herself first because that put her in a position to try and save both the father and child, which lends to the possibility of saving everybody. Had she gotten reckless in her desire to save them and tried to do so, without having first been secure herself, it probably would have been the death of all. Swimming lessons are always a plus.
2. If the mother was dying already, than euthanasia was unnecessary and therefore the daughter did an evil thing to speed up her death. There are other options, including sleeping in homeless shelters or asking people, like church members directly for such help or perhaps even giving up the children temporarily until she can get her act together, if living at the dying mother's was not an option.