In 1610, he served as mate aboard the Muscovy Company ship Amity (60 tons) on a sealing and exploratory voyage to Spitsbergen.
In 1611, Purchas (1625) states that it was he who suggested to the Muscovy Company that six Basque whalers from the town of St Jean de Luz, who had experience in the Terranova whale fishery, should be shipped the following season.
Angry over the fact he wasn't chosen to go on this expedition, he shipped aboard an interloping vessel from Hull, the Hopewell, Thomas Marmaduke, master.
He sailed as master of the Prosperous, which resorted to Sir Thomas Smith Bay (Forlandsundet) and Cross Road (Ebeltofthamna).
Della Valle said that Woodcock had spent over a year with his ship in the Persian Gulf, charting the Strait of Hormuz and adjacent areas for suitable anchorages.
Woodcock boastfully claimed to have been the first Christian to name and discover this country of Greenland the same year he had found the above-mentioned horn.
In May 1635 he was master of the Revenge of London, which loaded tobacco, skins and other goods in Virginia from Richard Bennett.