6 puppies in five hours is really good.
If she is turning around, and digging at the papers, and straining, and no puppy, then she may be in distress. If she seems to give up, she can be in distress. Though I wouldn't worry about that until a couple of hours pass between puppies.
Six is a nice sized litter. She can have more. So you have to kind of pay attention. If there is a gush of water, and she strains and does not produce a puppy, there are a few things you can do: Put a leash on her and take her out to potty, sometimes walking a little will get things going again. Canned evaporated milk -- mix with two cans of water, or vanilla ice cream can get things going again.
If you are in doubt, call your vet.
For the first couple of weeks, the dam will do all the puppy-rearing. It is good for you to get in there and weigh them twice a day. But the major socialization period starts about 3 weeks of age. Your family and kids will be great at that point. Don't take the puppies anywhere, save the vet around 6-7 weeks.
Jenna, RN CGC & Babs, CD RA CGC HIC
Heidi, RA CGC
SG3 Odessa, SchH1, Kkl1, AD
Ninja, RN CGC & Milla, RN CGC
Joy, Star Puppy, RN CGC
Dolly CGC & Bear CGC