Frankie Brazos graduated from Phyllis Wheatley High School, Houston, Texas; received a Bachelor of Science Degree in Health and Physical Education at Southern University, Baton Rouge, Louisiana; and received a Master of Science Degree at Texas Southern University, Houston, Texas. In 1955 he began his basketball coaching career in the Houston Independent School District at E.O. Smith Jr. High. He began as the Assistant Coach and became Head Coach the following year. After a number of years at E. O. Smith, Mr. Brazos coached at Lamar Fleming Jr. High and finished his career at Kashmere Sr. High School where he retired after almost 40 years of dedicated service. His coaching legacy included 16 Junior High school city championships, 9 District Championships and the State Championship in 1980 at Kashmere Senior High with Alfred Godine and Luster Goodwin leading the way. He also received to the city of Houston proclamations. One time he took his E.O. Smith Junior High School team, split it in half and played in two tournaments on the same day — and won them both. A record of 625-25 was he compiled in the junior-high ranks including an 82-game winning streak.
The former players under coach Brazos went on to win state high school titles at Wheatley and Kashmere, as well as go on to college and professional. All throughout his career, coach Brazos not only taught hundreds of young men to play great basketball, but also to stay in school and excel in class.
Some of the top players who played under coach Frankie Brazos, and what they accomplished in basketball:
| Walter Yates…Madison coach | Eldridge Small…Sterling coach |
| Lonnie Reynolds…Wheatley coach | Danny Thomas…Kashmere coach |
| Dwight Jones…E.O. Smith.3 state titles at Wheatley; U of H, NBA. | Lawrence Johnson…E.O. Smith.3 state titles at Wheatley. |
| Allen Batro…E.O. Smith.3 state titles at Wheatley. | Charles Matthews…E.O. Smith…state titles at Wheatley. |
| Frank Feals…E.O. Smith.2 state titles at Wheatley. | Cecil Dutton…..E.O. Smith.2 state titles at Wheatley. |
| Gaylord Davis…E.O. Smith.2 state titles at Wheatley. | Jerry Bonney…E.O. Smith.2 state titles at Wheatley. |
| Jerome Bell……E.O. Smith.2 state titles at Wheatley. | Frank Hale…….E.O. Smith.2 state titles at Wheatley. |
| Sam Yates…E.O. Smith. State title at Wheatley…. | Mitchell Edwards…E.O. Smith. State title at Wheatley; Pan American |
| Joe Young…E.O. Smith.1960 state co-champs at Kashmere. | James Wilson…E.O. Smith.1960 state co-champs at Kashmere. |
| Ernest Martin…E.O. Smith. State title at Wheatley. | Alfred Godine…Kashmere…1980 state championship. |
| Luster Goodwin…Kashmere…1980 state championship; UTEP.NBA | Reginald Slater…Kashmere…Played at Wyoming. |
| Alex Holcombe…Kashmere…Playing at Baylor. | Ray Stephens…..Kashmere…Texas College (NAIA). |
| Kevin Robinson…Kashmere…Playing at Oregon. | Joseph Selexman 3 City Championship E. O. Smith |