As children they belonged to their father to be sold (for a dowry) to another man.
Umm, no.
What you're no doubt thinking of is a "bride price". Which wasn't all that common, historically.
"Dowry", on the other hand, was the goods and money that the bride brought to the marriage. Her share of their joint assets, essentially.
Note that, more often than not, the dowry was NOT the property of her husband, but something that she took with her in case of divorce/whatever (which was also more common historically than most modern Americans think it was).
Check out some of the lawsuits mentioned in various Norse sagas sometime, to get an idea of the amount of bickering over dowries that went on when a husband wanted to dump his wife, or a woman wanted to dump her husband....