'Woolwich' probably means the trading place for wool.
That reading of the Anglo-Saxon name is generally accepted, yet no evidence of a wool market has been found. From the 10th to the mid-12th century Woolwich was held by the abbots of St Peter's Abbey in Ghent, perhaps through a gift of 918 from King Alfred's daughter Ælfthryth. So the Domesday Book leaves it out; its 63 acres called Hulviz are thought to be North Woolwich.