[vistaman44]

Bantamweight
Champion - Jose Beccera
1. Alphonse Halimi
2. Piero Rollo
3. Leo Espinosa
4. Danny Kidd
5. Joe Medel
6. Freddie Gilroy
7. Jose Lopez
8. HERMAN VASQUEZ
9. Eder Jofre
10. Alberto Ibarra

Dean;

Ring Record Book lists the magazine's composite rankings for the year 1960 as:
Champion - title vacant.
1. Eder Jofre
2. Alphonse Halimi
3. Piero Rollo
4. Freddie Gilroy
5. Kenji Yonekura
6. Joe Medel
7. Eloy Sanchez
8. Ignacio Pena
9. Jose Lopez
10. Leo Espinosa

For 1959, the ratings were:
Champion: Joe Becerra
1. Alphonse Halimi
2. Freddie Gilroy
3. Eder Jofre
4. Piero Rollo
5. Danny Kid
6. Leo Espinosa
7. Jose Lopez
8. Kenji Yonekura
9. Ernesto Miranda
10. Herman Marques

I checked flyweight and featherweight for the two years as well, and found no Vasquez in any of those, either.

FWIW, I think Marques may be your guy and the name was just listed wrong. He was 20-10-1, 6 KOs, from the US, 1957-62. Seems to fill the bill, I think. You might want to compare issues of your magazines and see if it gets changed in a few months ...