Polymerized oils (heat-bodied oils) were hydrogenated to make a semi-crystalline wax-like material. The process of the present invention yields hydrogenated polymerized oils that can be used as bio-renewable replacements for micro-crystalline wax and petrolatums raw materials in products that are comprised of such materials. The present invention is directed to a composition comprising a hydrogenated polymerized oil, a composition consisting essentially of a hydrogenated polymerized oil and a process of preparing a hydrogenated polymerized oil. The present invention is also directed to a composition comprising a hydrogenated blown oil, a composition consisting essentially of a hydrogenated blown oil and a process for preparing a hydrogenated blown oil. The present invention is also directed to a composition comprising a hydrogenated copolymer oil or a hydrogenated copolymer/vegetable oil blend, a composition consisting essentially of a hydrogenated copolymer oil or a hydrogenated copolymer/vegetable oil blend, and a process for preparing a hydrogenated copolymer oil or hydrogenated copolymer/vegetable oil blend.