I'm not sure what area you're in but two REAL work at home positions I have seen are for HSN as a customer rep. search HSN careers. Their main office is located in St Pete, I believe you would have to do your training there. I loved that HSN had evening home positions. When the children are up all focus should be on them, loved the idea I could work for a couple hours while my son slept.
Also in the Tampa area there was positions open for Hilton reservations as a customer rep and would have to also do training. Both of these are inbound calls and it isn't selling.
The only "investment" would be a computer and phone line dedicated for work.
Customer Service isn't for everyone but these are REAL companies looking for employees and paying an hourly rate not commission based selling. I applied recently for HSN and still waiting to hear back from them. I think being able to work in your pj's and not spending money on gas is a plus.
I've looked into alot of work at home positions and many of them seem to be scams. What I am currently looking into is Wedding Consultanting. I am looking to start with a company and once I have enough experience, go on my own and work from home.
Hope these ideas help you. Please let me know if you find anything also. :)