I have found this with elk as well. The 'lead' cow makes the decisions for her herd. I'll offer 2 examples:
While deer hunting in some Pinon Juniper, with no elk tag in my pocket, I spot the hind leg of an elk that is laying down, about 40-50ys from me. As I look it over, I see a big black eyeball staring at me, and when we make eye contact, that elk, a spike bull, leaps to his feet and starts running out onto a plateau, and 18 more elk follow him. At about 175yds, the herd stops, and they are all looking around, except the spike. He is staring at me.
After a short time, one cow starts to move to the West about 5-10 steps, and the whole herd shifts with her, except the spike. He is still staring at me. The same cow then shifts to the East a bit, with the herd following her, except the spike.
After maybe 4-5 minutes, that cow starts to trot South, and the herd single files behind her, except the spike. He is still staring at me. The herd gets about 150yds from the spike, and he turns and runs to catch up.
Since the spike could not tell the others 'Hey, there's hunter over there. Let's get out of here', none of the elk did anything without the lead cow. Kind of like the buffalo hunters would shoot the lead/dominant cow, and the others would mill about, not knowing what to do.
2) We've all read in 'How to hunt Elk', that if you can get inside the 'comfort' zone of the herd bull during the rut, and you challenge him, you have a good chance of him coming to meet you to defend his cows. If you are to far outside the zone, the bull will 'drive' the cows away from you.
I have tried this, at least a dozen times. In each case, when I bugled or cow chirped, I see a cow jump up and start to leave the area, taking all the elk with her, including the bull bringing up the rear. In several cases, the bull was looking the other way as the cows were leaving, and when the bull saw that, he ran after them.
My conclusion: the females, of many species, have the control. The lead cow decides when and where to go, and maybe even which bull gets her girls that year.