"In 1999 and 2002, The Japan Times and the Okinawa Times reported speculation that not all the supposed weapons were removed from Okinawa."
May be true, but as stated, just unconfirmed rumor.
"In an interview with the Mainichi Shimbun in 1981, Edwin O. Reischauer, former U.S. ambassador to Japan, said that U.S. naval ships armed with nukes stopped at Japanese ports on a routine duty and this was approved by the Japanese government."
So, it seems the USA got permission to have nuclear weapons aboard ships in Japanese ports. There also may still be nuclear weapons on Okinawa (not that unlikely, I would say, but that's pure speculation)
"Between 1954 and 1972, 19 different types of nuclear weapons were deployed in Okinawa, but with fewer than around 1,000 warheads at any one time."
That is not in conflict with that other page. Okinawa wasn't part of Japan between 1945 and 1972. See http://en.wikipedia.org/wiki/1971_Okinawa_Reversion_Agreemen....
"In 1999 and 2002, The Japan Times and the Okinawa Times reported speculation that not all the supposed weapons were removed from Okinawa."
May be true, but as stated, just unconfirmed rumor.
"In an interview with the Mainichi Shimbun in 1981, Edwin O. Reischauer, former U.S. ambassador to Japan, said that U.S. naval ships armed with nukes stopped at Japanese ports on a routine duty and this was approved by the Japanese government."
So, it seems the USA got permission to have nuclear weapons aboard ships in Japanese ports. There also may still be nuclear weapons on Okinawa (not that unlikely, I would say, but that's pure speculation)