In that direction; towards.
In those days, and in that time, saith the LORD, the children of Israel shall come, they and the children of Judah together, going and weeping: they shall go, and seek the LORD their God. They shall ask the way to Zion with their faces THITHERWARD, saying, Come, and let us join ourselves to the LORD in a perpetual covenant that shall not be forgotten. ( Jeremiah 50:4-5 )
Bibliography Information"Entry for 'Thitherward'". A King James Dictionary.