Hi Brian and Welcome,
Women monthly lose iron so they do tend to replace it in vitamins, but not in excess. Some don't take any replacement iron.
The food we eat has much iron in it. Not just meat. Anything grown in the ground has iron in it. Our cooking pot and pans, and utensils, especially the cast-iron ones our parents used.
Many pregnant women take iron in their baby-multi pill. But the baby takes that to use to build it's own body and health. Maybe the baby taking the iron is the reason why women feel so good when pregnant with no relapses of MS?
Then after the birth they still take the baby-multi and relapse as iron restores. We used to wonder why women had protection from MS attacks during pregnancy, it may not be EPF (early pregnancy factor) as once thought. It may be the baby taking the excess iron.
More women get MS than men. Maybe they lose more iron monthly, but store more to recoup the monthly loss?

It's a long shot, but you never know.