Cellulose thinner is lacquer thinner. It can be in the form of ethyl cellulose, cellulose acetate, or the more common nitrocellulose or cellulose nitrate. Lacquer thinners also contain ringed hydrocarbons such as toluene and xylene. All these compounds make the thinner pretty hot (volatile). Lacquer thinner is the most toxic of the three mentioned--because of the components and increased volatility. This stuff is great for thinning lacquer paints (Duh!) and for cleaning the crud from an airbrush.
Mineral spirits contain long-chained hydrocarbons (aliphatics) and are by-products of petroleum distillation processes. Petroleum naphtha and stoddard solvent are some of the products found in mineral spirits. White spirits is another name for mineral spirits, and contains stoddard solvent as its primary ingredient (usually). This material is superb for thinning enamels, enamel-and even oil-washes, and cleaning airbrushes. The stuff sold by Testors is hotter than the stuff you buy on the shelf in the half-gallon can at Home Depot, but they will both provide the exact same results; the Testors will cure/dry faster, however. This material ranks third in relative toxicity after lacquer thinner and turpentine.
Turpentine goes by the name gum turpentine, oil of turpentine, steam distilled turpentine and gum spirits, among others. Turpentine is obtained by distilling the gum from various species of pine. It is a mixture of isomeric terpene hydrorocarbons. Composition varies with refining methods and the age, location and species of the softwood source. This material would typically be used in the thinning of oil paints, pigments, etc. This material's toxicity ranks second after lacquer thinner.
Hope this helps a little.
Gip Winecoff