Keeping in mind that it is winter, make sure you can tarp that thing up REALLY well, whether you haul it yourself or if you hire it done. Oil the snot out of it, then make sure it is thoroughly tarped. This time of the year it will encounter road salt and/or urea at some point along the way. I haul heavy equipment and machinery for a living but never get that far from home. If I did, I'd be more than happy to figure out a way to get it back here for you.
Personally, if I was hauling it or shipping it, my preferred method would be to completely crate the lathe, it would be fastened and strapped to the skid portion of the crate in such a way that it could not tip over so easily. Steel strapping would be required, as I would not put 100% trust in bolting the lathe to the bottom boards of the crate, at least not to keep it from tipping over inside the crate itself. The outside of the crate should be marked so that headstock end is marked as the heavy end. Then a forklift with fork extensions could pick it up from the end and place it in an enclosed truck or trailer, placing it in there the long way. Or, it could go on a flatbed, but should still be tarped to keep road spray off of it. A good crating job often seems like overkill or wasted money, but it is the safest way to ship your item and you will not regret the extra cost and extra protection.