I totally agree with Fred and Jeff. It does have the sounds of a scam. Not saying it is, but it's just like the "Starving, will work for food" signs. For most of them, when you offer them work, they pass it up because they really just want to pull on people's heart strings to get money from them.
Again, I don't know these people and they very well may be very stand up people in desperate need. There are ways to get assistance. But I would not spam a customer list to beg for money.
I have had to ask for help before. If it is legit, my heart goes out to them. But what are the odds that they are going to start refusing the donations once their rent is paid?