Ingeborg Reichelt studied in Dresden and at the Musikakademie in Hamburg (singing, dancing and acting). She also studied Physiology. She graduated as a music teacher in 1950 and passed her concert exam as a pupil of Henny Wolffs in 1953.
Reichelt focused on singing oratorios and Lieder. She recorded Bach cantatas with conductors such as Helmuth Rilling, Karl Ristenpart and Kurt Thomas. She was a frequent soloist for the cycle of Bach's cantatas recorded with Fritz Werner conducting the Heinrich-Schütz-Chor Heilbronn and the Pforzheim Chamber Orchestra, including Brich dem Hungrigen dein Brot, BWV 39 with Barbara Scherler and Bruce Abel, a cantata that Bach had written for the first Sunday after Trinity of 1726. In 1957 she recorded Bach's Mass in B minor with Werner and his choir, Helmut Krebs and Franz Kelch.
Her repertoire has also included works of Handel, Haydn, Mozart, Brahms, Hans Pfitzner, Arnold Schoenberg and Hans Werner Henze. She performed with the Beethovenchor Ludwigshafen Bach's Christmas Oratorio in 1957, and A German Requiem of Brahms, conducted by Horst Stein in 1967. With the Heinrich-Schütz-Chor Heilbronn she performed in Handel's Messiah in 1957 and Bach's Christmas Oratorio in 1967. With the Bonner Bach-Gesellschaft she appeared in Hermann Suter's Le Laudi in 1967 and in Antonín Dvořák's Requiem in 1975. She recorded songs of Igor Stravinsky, Pastorale for soprano, oboe, English horn, clarinet and bassoon, and his orchestration of Two Sacred Songs by Hugo Wolf.
- "Ingeborg Reichelt (Soprano)". bach-cantatas.com. June 2001. Retrieved 2010-05-26.
- "Cantata BWV 39 Brich dem Hungrigen dein Brot". bach-cantatas.com. May 2010. Retrieved 2010-05-26.
- "Bach Fritz Werner Cantatas Vol.1". musicweb-international.com. November 2004. Retrieved 2010-05-26.
- "Bach Fritz Werner". musicweb-international.com. April 2005. Retrieved 2010-05-26.
- "Alle Konzerte seit 1924" (PDF) (in German). beethovenchor-lu.de. 2010. pp. 17, 20. Retrieved 2010-05-26.
- "Heinrich - Schütz - Chor Heilbronn Konzertchronik" (in German). heinrich-schuetz-chor.de. 2010. Retrieved 2010-05-26.
- "Konzertliste der Bonner Bach-Gemeinschaft" (PDF) (in German). bach-chor-bonn.de. 2010. Retrieved 2010-05-26.
- "Stravinsky Choral and Chamber Works". gramophone.net. February 1982. Retrieved 2010-05-26.
- "Die Balance im Gesang.html" (in German). Weltbild.de. May 2010. Retrieved 2010-05-26.
- Daily Telegraph. "Obituary: Hans-Joachim Herrmann" (November 24, 2010)
- Hamburger Abendblatt. "In der Kirche von Nienstedten getraut". September 26, 1959 (in German)