They weren't exclusively nursing for seven years, no. Infants start eating complementary foods around six months or so and continue nursing for however many years. For me, it was close to 4 years.

I don't think women were sitting in their caves waiting for a man to bring home meat. Not at all. I do think they took their kids out and gathered foods, which is where most of their calories came from.

You have to be very still and quiet to hunt big game. I am not myself a hunter, but I did go hunting a fair bit with my dad when I was growing up (but not when I was little!) He is really into hunting -- deer, squirrel, rabbit, turkey, etc., and I accompanied him for all these except for turkey, I think. I really cannot imagine going out pregnant with a baby in a sling and maybe a toddler by my side and trying to hunt. There's a lot of sitting still and sometimes, if you hit something but don't kill it outright, there's a lot of running through undergrowth, chasing the animal and trying to get another shot or to find it as it slowly dies. Doing that while pregnant and/or with a couple of kids? Not remotely imaginable.

I would really, really like to hear from even one woman who has gone deer hunting with a bow while carrying her baby. I have a feeling, from your description of hunting, that you may not have much understanding of how hunting works. "So you're not talking days or long hours, you're talking minutes." Being able to bring back big game in minutes? That would be a lucky shot indeed.