She was educated in her home in a small neighborhood setting with her younger brother Miguel, taught by a French governess until the age of ten.
[4] At the age of 15 in 1949, she decided to enroll at the Mexico City College[5] and attended art classes in the afternoon twice a week.
Impressed by her work, Professor John Skeaping, a British sculptor from the Royal College of Art, encouraged her to pursue sculpture.
She studied under the guidance of Frank Dobson, Henry Moore, Jacob Epstein, Leon Underwood, and for a short time, Ossip Zadkine.
In 1968, Mathias Goeritz invited her to participate in the Ruta de la Amistad (Route of Friendship) for the XIX 1968 Summer Olympics in Mexico City, for which she made the sculpture called Puertas al Viento (Gateway to the Wind).
In the same year, Escobedo set up an exhibition, self-produced and curated by Willoughby Sharp featuring fifteen large-scale environments made by many individual international artists.
[4] When Escobedo mounted her Dynamic Walls exhibition, it traveled to different cities starting in Prague but eventually became lost on its journey to Rome.
[4] In 1978, Escobedo created Coatl, at the University Cultural Center of UNAM in Mexico City, out of steel girders painted yellow to orange to red measuring to 15 meters.
Entering with a small team of two other architects to design a building in 1980, they received the outstanding achievement Reaseguradora Patria for winning.
She even conceived and coordinated a book in 1989 called Mexican Monuments: Strange Encounters that was printed in both Spanish and English that was met with equal success.
By 1987, Escobedo decided to split her year, six months at a time between living in Mexico and in Germany with her partner Hans-Jürgen Rabe whom she married in 1995.