I doubt that we'll ever know for sure. The central story of Christmas and Epiphany is not about the star, but about the interaction between humanity and the transcendent - and the details of the story pale before that. The Full Moon will be accompanied by a total lunar eclipse, but the Moon will be directly overhead for observers in Oman, on the Arabian Peninsula. Evening twilight will find Venus very bright to the southwest, with Jupiter and Saturn high and to the southeast. Mercury will be hard to find, but will be below and to the right of Venus.
Early risers can view Mars to the southeast before dawn.
They're in the constellation Taurus, near the bright star Aldebaran, and the open cluster of the Pleiades. A line drawn straight to the southeast horizon from Aldebaran takes your line of sight through Orion to the bright star Sirius in Canis Major. Castor and Pollux, in Gemini, lie above the eastern horizon. Directly above the Twins, closer to zenith you will find Capella, in the constellation Auriga. Mirfak, in Perseus is just a bit higher.