They became merchant bankers in London and established cotton mills in Lancashire.
His father, Thomas Waddington, took control of the family business ventures in France after his brother William's death in 1821.
Waddington was elected a Deputy in the French Parliament in 1876, where his industrial experience was valued.
He wrote Louis XV et le renversement des alliances (Paris: Firmin-Didot et cie, 1896), and La guerre de sept ans: histoire diplomatique et militaire (five volumes, Paris: Firmin-Didot et cie, published 1899–1914).
They had a son, Brigadier-General Walter Waddington (born 1864), a senior French Army officer, who died in Germany in 1920.