Suzanne Eaton, 59, had attended a conference at the Orthodox Academy in northwest Crete, as she believed to have disappeared during a term of July 2.
The Greek police found their body Monday night, according to the Max Planck Institute at Dresden University in Germany, where she worked as a biologist.
"We are deeply shocked and disturbed by this tragic event," it added. "Suzanne was an excellent and inspiring scientist, a loving spouse and mother, an athlete, and a truly wonderful person who loved us all."
Eaton was the wife of British scientist Tony Hyman and mother of two sons, Max and Luke, according to the institute.
Eaton usually ran for 30 minutes every day and was a regular face of the conference, according to the Facebook page. Her family believes she walked away during a race within 5 miles (3 miles) of the academy complex.
"Because of the harsh terrain and extreme heat, we think the most likely option is that Suzanne might have either overheated and looked for shade or maybe she's fallen," a Facebook post said.
While Eaton's employer acknowledged in a previous statement that the "most likely" scenario was that she had started, it added: "There are many observations that challenge such a theory, including today's heat, suggesting that a swim would have been more attractive. "
" Besides being a leading researcher in her field, Suzanne is a strong athlete, runner and senior black belt in Tae Kwon Do, "the statement added. "If anyone can find their way out of a difficult situation, it's Suzanne."
CNN's Elinda Labropoulou in Athens, Arnaud Siad and Sarah Dean in London contributed to this report