Mark,
You don't need a lathe to do the spout part of a screw tip horn. As far as that goes you don't even need a lathe to make the actual screw tip. Drill a 1/4" hole in the spout end of the horn. Place a 1/4" steel rod in your vise, horizontally, and mount the horn to the 1/4" rod. I like to use a small "V" block in the vise jaws to hold the rod. With the horn mounted on the rod, file down your desired length with a file. I find that if I rotate the horn towards me while filing in the opposite direction I can make the filed length round within a couple of thousandths. You might want to check the diameter with calipers as there can be hard spots that don't want to file down as easily as other parts of the diameter. Out of round by a couple of thousandths will not make any difference when threading. You can make a guide for threading by making a rod which is 1/4" on one end and a slight bit under the minor diameter of the threading die on the other end, just so it slides on. Place the 1/4" diameter in the 1/4" hole in the horn and slide the threading die on the larger diameter to square up the die in relation to the diameter on the horn. Then thread away. You might want to lubricate the horn with some beeswax or light oil before threading.
Randy Hedden