Temps call at any time and expect you to be fully dressed, make up on, shoes on, ready to walk out the door. You'd have to have a full time baby sitter lined up to work on the spur of the moment. If they call even once and you won't go do that job they tend to not call you back at all for any further jobs.
I think with the situation you are talking about that I would find some kind of call center company that is open odd hours and then work the evening shift.
I worked at Sykes on the SBC/Yahoo DSL account for some time, I really liked working the MAC support. I owned my own child care center at this time too so there was not way I could work days. I enjoyed the evening shift, I worked 6pm-2am. It was quite and we didn't often get a cue of phone calls unless a router went down in California. Then we might get a lot of calls all at once but since I was on MAC support there were often times when my co-workers would be harried and trying to get one off the phone because the next person in line had been on hold for 20 minutes.
I enjoyed the work and found it to be not a lot of stress once I figured out the system and correct sheets to go by to help someone set up their email account.
The MAC account was really low stress. I liked it way better than Windows accounts.
Something like this would get you working a couple of days per week at least then your hubby could take the kids in the evening. Your older child could earn extra money for babysitting if you went to work at 4pm and worked to midnight.
You might find that you enjoyed this job so much that you'd want to work up to a program coordinator and manage an account or two.