Court is the word you are looking for here. The problem is cultural. People don't use the word court anymore because the concept of courtship no longer exists as it once did. You can be dating someone, seeing them, going out or going steady, but you can't be courting without a suit, a bouquet of flowers, her daddy's permission and a vow of premarital chastity. Like I said, coutrship is extinct in word and deed.