This is a good request. There are many steps that a PR firm can do to help this company. Here are a few simple steps that can be taken to help solve the problem. First, because the furniture company has issued a recall, there is an admission that the product is not perfect. So, it would behoove the company to issue both an apology and settle with those who have been hurt. Second, since this company probably has done a lot of research before releasing the product, most likely the kids were using the product in unintended ways. This might be divulged as well, to keep the validity of the company in tact.
Another step that can be taken is to show that safety is an important part of the ethos of the company. Some good advertisement might be good here. More importantly, the need to revamp their safety protocols in reality.
Finally, if all else fails, they might want to consider buying another company and taking their name and starting over again.