Legitimists
Affected by sinistrisme, few conservatives explicitly called themselves right-wing during the Third Republic as it became a term associated with the counter-revolution and anti-republican feelings and by the 1900s was reserved for reactionary groups. Those Legitimists who had rallied to the Republic in 1893, after Chambord's death ten years before still called themselves "Droite constitutionnelle" or "républicaine" (Constitutional or Republican Right). However, they changed their name in 1899 and entered the 1902 elections under the name "Action libérale" (Liberal Action). By 1910, the only group which openly claimed descent from the right-wing gathered only nostalgic royalists and from 1924 on the term right-wing practically vanished from the parliamentary right's glossary.
Centre-right politics
Centre-right politics or center-right politics (American English), also referred to as moderate-right politics, are politics that lean to the right of the left–right political spectrum, but are closer to the centre than other right-wing politics. From the 1780s to the 1880s, there was a shift in the Western world of social class structure and the economy, moving away from the nobility and mercantilism, as well as moving towards the bourgeoisie and capitalism. This general economic shift towards capitalism affected centre-right movements such as the British Conservative Party, that responded by becoming supportive of capitalism.