Hi Kup ... I have some experience of hand-rearing wood mice, so can assist you as required.
The article in the web link you posted is quite comprehensive, so you'll do well if you follow that closely.
Firstly though, what the mice need most is warmth ... because you have a small family group, their shared body heat is certainly a help, but they will also need an external source of heat.
An electric heat pad is best, but in absence of one of those, you can improvise with a small plastic screw-top soft drink bottle, filled with hot water and wrapped in a clean tea-towel or dish cloth. place this adjacent to the 'nest' so that it is secure and can't roll-over on top of them. Ensure that the mice can move away from the source of heat if they become uncomfortably hot.
As far as feeding is concerned, a low-lactose cat milk is OK as a standby, and will certainly prevent dehydration, but the fat content is really too low to provide all the nutrition they require. A better milk-substitute to use is one of the powdered kitten or puppy rearing milks that you should be able to source at you pet store, or from your local vet surgery.
It can be made up according to instructions and stored in the fridge between feeds ... you'll need to bring it up to temperature again before feeding of course ... and should be discarded for a fresh batch each day.
You mention that the mice are lapping-up the milk you provided ... are they doing this themselves, or are you feeding with a dropper, small paint brush, etc? I ask this to get a better idea of just how old they are.
If they are lapping for themselves, then they are old enough to be given some solid food too. Mix some weetabix/oatibix with some warm cat milk and see if they'll eat that. If they do, then you can also try them with small pieces of fruit ... sultanas, very thinly sliced apple, pear, banana or melon. Once they can handle that, they are ready for some sunflower or pumpkin seed kernals (without the outer husks) and some crumbled digestive or rich tea buiscuit (no chocolate though).
If you are still dropper/syringe feeding, then you need to be well careful to feed only small quantities at a time, and through the side of the mouth, making sure that none is accidentally inhaled through the nostrils.
As important as feeding at a very young stage is toiletting ... you need to stimulate each mouse to urinate and defecate by very gently rubbing a damp cotton-bud/q-tip over the genital area in small circular movements ... in effect you are trying to replicate the action of their mothers tongue. This needs to be done after every feed, untill they begin to eat only solids.
That should keep you going for now hopefully ... if you can get back with a better description of size, development of fur ... or better still a photo or two, then with a better understanding of how old they are, we can provide more focussed support.
If you also advise where you are in the country, we can perhaps provide some local wildlife rehabilitator contact details in case you need hands-on support too. What you are attempting to undertake is not at all easy, so best of luck.