'Toward' in the Bible

So I went out at night by the Valley Gate toward the Dragon’s Well and to the Refuse Gate and inspected the walls of Jerusalem which were broken down and its gates which were consumed by fire.

After him Baruch son of Zabbai zealously repaired another section [toward the hill], from the Angle [in the wall] to the door of the house of Eliashib the high priest.

Then I had the leaders of Judah come up on the wall, and I appointed two large thanksgiving choirs, the first one proceeding to the right on top of the wall toward the Refuse Gate.