At the link you can download the free plans to build a mobile lathe stand for your workshop.
This lathe stand was built mainly from 3/4 inch pine boards and has adjustable feet to sit level on any floor.
This is a link to a Google 3D SketchUp drawing for a lathe stand built of 2-by dimensional lumber and 3/4 inch plywood or MDF. You will need the SketchUp software to download this drawing and its freely available online. We do not provide support for this software.