Was Ayatollah Khomeini's father a British explorer?

Was the late Ayatollah Khomeini's father, British explorer, William Richard Williamson? This idea is raised in Forbes Magazine by Melik Kaylan. Apparently the evidence includes the fact that Williamson, who spent time in the Persian Gulf in the late 19th century, "went thoroughly native, wore local garb, converted to Islam, married two wives in the Islamic way and produced 13 offspring", and that Khomeini was always highly sensitive about his ancestry. It's not a new theory, but Kaylan presents it in an entertaining way. More details about Williamson here.