A grease composition is disclosed, having from 50 to 99 weight percent of a lubricating base oil, from 1 to 30 weight percent of a thickener component comprising one or more of (i) one or more natural oil derivatives, (ii) one or more hydrogenated metathesized natural oils and/or natural oil derivatives, (iii) one or more amidated metathesized natural oils and/or natural oil derivatives, (iv) one or more, or two or more, carboxylic acids and/or derivatives thereof, and (v) one or more of a metal base compound, and from 1 to 15 weight percent of one or more optional additives. Processes for making grease compositions are also disclosed.