Traveling with newborn?

My mother is coming to our house for about a week after the baby is born....we live 6 hours apart and she's one of those people who only drive within a 10 mile radius of her so my aunt and uncle are taking her to the halfway point....about a 3 hr drive and then my fiance is picking her up and taking her the rest of the 3 hours up to our place. I was wondering if it would be okay if me and our baby come along to get her as well so my aunt and uncle can see the baby too. It would be about 7-14 days after birth and it would be 6 hours round trip for us. Obviously stopping for feedings and changings. What do you think?