I went through recovering from water/flood damage from putting out a fire. One of my takeaways from that experience is that sometimes the damage to household goods is not as bad as you think. Go through everything before it's thrown out. If it can fit in a washing machine or a sink, it can often be cleaned (may take multiple washes to get smells out). Furniture is probably all a lost cause, but a surprising number of other things can be salvaged.
In addition to the previous suggestion of churches, there may be non-religious organizations in the area geared to helping single parents. Does she have any social services support, like a case worker helping her collect child support? If she does, that person would be a good resource. They tend to know all the services in the area and may be able to put her in touch with groups that can help her replace items.
The only other thing I can think of is to check for freecycle groups for her area (and yours, if you are near enough to bring things to her). If there is one, it'll have a forum or yahoo group where members can offer and ask for items for free.