A composition of matter is used as an ingredient in making dairy-containing products, especially cheeses, cheese spreads, cheese sauces, ice cream, ice milk, yogurt, sherbet, milk shakes, and the like. The product can replace shortenings and fats and oils, and can be used in these dairy products. A highly refined cellulosic materials (e.g., cellulose, modified celluloses, derivatized celluloses, hemicellulose, lignin, etc.) product can be prepared by generally moderate treatment and still provide properties that are equivalent to or improved upon the properties of the best highly refined cellulose products produced from more intense and environmentally unfriendly processes. Fruit or vegetable cells with an exclusively parenchymal cell wall structure can be treated with a generally mild process to form highly absorbent microfibers.