In this portrait, Edward Smith Stanley, Twelfth Earl of Derby, is depicted alongside his first wife, Lady Elizabeth Hamilton, and their son. The figures are arranged in a formal yet intimate composition, set against a muted background that emphasizes their clothing. The colors are rich and warm, with deep reds and soft creams dominating the palette.

The expressions of the subjects convey a sense of familial pride and connection. The painting showcases Kauffmann's skill in rendering fabric and skin tones, highlighting her neoclassical style. The attention to detail in the clothing, particularly the textures and patterns, is notable. The use of light and shadow creates depth, enhancing the three-dimensionality of the figures.

This work exemplifies the characteristics of neoclassicism, with its focus on clarity and idealized forms. Angelica Kauffmann was one of the few female artists of her time to gain recognition in the male-dominated art world of the 18th century. This portrait reflects her ability to capture the essence of her subjects while adhering to neoclassical ideals. An interesting fact about this work is that it was commissioned to celebrate the family's status and lineage, making it a significant historical document as well as a piece of art.