Thanks for the replay. :)
Here's the rest of the story:
The box kittens were in was had a long height and uncomfortable. We took them out and put them in a wider and more comfortable box. Then I took the mother cat and brought her to her kittens. She smelled them and turned around and walked away. (I did it again, and same result)
So at this point, we officially decided to kick in! We cut their umbilical cords, put them in a soft towel brought them home. They were hardly moving. I read on the net that we shouldn't give cow's milk to kittens (specially that our cow milk is not really cow milk, it has been filtered hundred of times to suit us humans). but the way we saw it was to give "something" to 3-days starved kittens. So we gave each of the kittens some milk with a syringe. (actually we called a vet and gave them a mixture of milk, yoghurt and vitamins)
So the kittens got awake and started squeaking. We expected them to fall sleep after that, but one or two of them fell asleep but the squeaking of the other one woke them up.
We decided to leave the box alone to see if the mother shows any interested now that they are all 3 squeaking. Again she got close, smelled and turned away. This happened like twice.
Well to make it short, after couple of hours, the kittens squeaks got even more and more. My wife thinking they just need their mother to calm down, she takes the mother and hold her next to kittens. She turns away. My wife insists and hold her again, this goes for a while and I'm watching the whole thing. Now out of a sudden, the squeak of one of the kittens touches the mother somehow and she goes near and lick him/her for 3-4 seconds. Then again turns away and go. Now we're excited we got something out of her, again we get her and hold her next to kittens. Same thing happens. We repeat and in the third time, she picks the kitten and start walking. My wife is like "OMG she is gonna eat it" (referring to sometime before our hamster ate one of her children). She goes to her chair, and jumps on the chair trying to bring her kitten on her "spot". The kitten falls from her mouth on the floor, which we put the kitten on the chair next to her. She started licking the kitten, when we quickly mix the other 2 with this one. Now she is feeding all 3 together. Sometimes one of them fall from the chair, she goes down and pick it up to the chair. Well we're letting her stay in the house full time for a while.
Sorry if I rambled, I guess brute force made her recognize her children.
p.s. I don't have access to goat's milk but to sheep's milk. Is it a good alternative?