His grandfather was Charles Claude Fetique (1853–1911), who was a violin maker, and who had two bow-making sons, Victor François Fétique (1872–1933) and Jules Fetique (1875–1951), and a daughter Marie Augustine Marthe Fétique (1879–1928 André's mother). André's cousin, Marcel Fétique (1899–1977 son of Victor), became a bowmaker as well.
Richaume apprenticed with Emile Francois Ouchard in Mirecourt, before joining his uncle, Victor Fetique in Paris. He established his own shop in 1923 and worked until 1957. In 1955 Richaume was awarded the distinction of " Meilleur Ouvrier de France " (one of the best craftsmen in France).
He supplied fine bows to other Parisian makers under his own brand. His work is very much influenced by Ouchard and his uncle Victor Fetique.
David Oistrakh used a Richaume bow in the later part of his life. Oistrakh had remarked that this bow gave him great satisfaction, so much so that when in Paris, he had to go meet Richaume in person. "The bow bought by his son Igor Oistrakh in 1957, had filled David with such enthusiasm that Igor made a gift of it."
"André Richaume was also a restorer of very great talent, able to preserve the styles of the Masters of the past."
"One of the great French bow makers of the 20th century". Christopher Brown
"One of the most remarkable bow makers of his generation".
"Superb maker in the finest tradition, whose work shows the influence of Ouchard and Fetique. It is said that his best bows are from his mature period especially those mounted in gold."  Gennady Filimonov
- Roda, Joseph (1959). Bows for Musical Instruments. Chicago: W. Lewis. OCLC 906667.
- Vatelot, Etienne (1976). Les Archet Francais. Sernor: M. Dufour. OCLC 2850939.
- Raffin, Jean Francois; Millant, Bernard (2000). L'Archet. Paris: L'Archet Éditions. ISBN 2-9515569-0-X.
- Discovering bows for the Double Bass 1994 Beaux Arts Editions - Christopher Brown
- Dictionnaire Universel del Luthiers - Rene Vannes 1951,1972, 1985 (vol.3)
- Universal Dictionary of Violin & Bow Makers - William Henley 1970