Question: What quartet was formerly named after an American jazz musician that lived his life as an adult but was born female?

Context paragraphs:
Billy Tipton: William Lee Tipton (December 29, 1914 – January 21, 1989) was an American jazz musician and bandleader.  He is also notable for the postmortem discovery that, although he lived his adult life as a man, he was assigned female at birth.

Amy Denio: Amy Denio (born June 9, 1961) is a Seattle (USA)-based multi-instrumental composer of soundtracks for modern dance, film and theater, as well as a songwriter and music improviser.  Often called an unclassifiable "avant-garde" jazz musician, she is also deeply inspired by world music.  She is probably best known as a vocalist, accordionist and saxophone-player.  Among her current musical involvements are The Tiptons Sax Quartet (formerly The Billy Tipton Memorial Saxophone Quartet) and Die Resonanz Stanonczi, a radical folk group based in Salzburg, Austria.  She has also collaborated repeatedly with the Pat Graney Dance Company, David Dorfman Dance Company, Victoria Marks, and with many other choreographers.

Wendell Eugene: Wendell Eugene is an American jazz musician from New Orleans, Louisiana.  He is a popular trombonist on the New Orleans jazz scene and has recorded with artists such as Lionel Ferbos, Harold Dejan, and Kermit Ruffins.  He is the oldest active jazz musician in New Orleans.

Hot House (composition): "Hot House" is a bebop standard, composed by American jazz musician Tadd Dameron in 1945.  Its harmonic structure is identical to Cole Porter's "What Is This Thing Called Love? " (see contrafact).  The tune was made famous by Dizzy Gillespie and Charlie Parker as a quintet arrangement and become synonymous with those musicians; "Hot House" became an anthem of the Be-bop movement in American jazz.  The most famous and referred to recording of the tune is by Parker and Gillespie on the May 1953 live concert recording entitled Jazz at Massey Hall.  The tune continues to be a favorite among jazz musicians and enthusiasts:

Rufus Harley: Rufus Harley, Jr. (May 20, 1936 – August 1, 2006) was an American jazz musician of mixed Cherokee and African ancestry, known primarily as the first jazz musician to adopt the Scottish great Highland bagpipe as his primary instrument.

Charlie Armstrong (musician): Charlie Armstrong is a jazz musician and songwriter.  He is the grandson of famous American jazz musician Louis Armstrong.

Phil Hey Quartet: The Phil Hey Quartet is an American jazz band formed in Minneapolis–Saint Paul.  The band (affectionately referred to as "PHQ" by fans) is led by founder Phil Hey, an American-born jazz drummer.  The Phil Hey Quartet features Phil Hey on drums, Tom Lewis on bass, Dave Hagedorn on vibraphone, and Phil Aaron on piano.  The group released "Subduction: Live At The Artist's Quarter" in 2005 which was subsequently named "Best Jazz CD of the Year" by the Twin Cities alternative weekly newspaper "City Pages".  "City Pages" also named him "2006 Jazz Musician of the Year".

Thelonious Monk Institute of Jazz: The Thelonious Monk Institute of Jazz is a non-profit music education organization co-founded in 1986 by Thelonious Monk III, the son of the late American jazz musician Thelonious Monk, opera singer Maria Fisher and jazz musician Clark Terry.

High Definition (Joe Morris album): High Definition is an album by American jazz musician Joe Morris which was recorded in 2007 and released on the Swiss hatOLOGY label.  Morris plays double bass instead of guitar.  It was the debut recording by his Bass Quartet featuring trumpeter Taylor Ho Bynum, saxophonist Allan Chase and drummer Luther Gray.  Chase played previously with the rhythm section composed of Morris and Gray on pianist Steve Lantner's quartet.

Ben Webster Prize: The Ben Webster Prize is an annual jazz award set up by the Ben Webster Foundation to honour Danish and American jazz musicians as well as other professionals active in the promotion of jazz in those countries.  The American jazz musician Ben Webster spent his last ten years in Copenhagen, Denmark, where he became an active part of the city's thriving jazz scene.  After his death, the Ben Webster Foundation was set up to channel his annual royalties to musicians in Denmark and America.  The Ben Webster Prize is part of this effort.

Supporting paragraphs: Amy Denio Billy Tipton
Answer: The Tiptons Sax Quartet