You're probably right. I trusted Google's summary: "Rupert Murdoch's News Corp owns the British newspaper The Times and its sister paper, The Sunday Times. Both are published by Times Newspapers Ltd, a subsidiary of News UK." which might be incorrect.
That's all correct. The only slightly questionable bit might be control of News Corp, but, realistically, it's not unreasonable to consider it to still be Rupert Murdoch's.
