In May 1944, La Liga acquires a large residence owned by Mrs. Filomena Vda. de Hernandez and moves to 229 Park Street.

By 1944 they were able to organize the "Cancer Institute" with room for 60 beds, where they offered surgery, radiotherapy and other services related to the diagnosis and treatment of cancer, since Dr. González Martínez firmly believed in the centralization of services.

The building had 2 floors, with a men's ward, a women's ward, several private rooms, a conference room, a library, a room for outpatient consultations, an office for specialists, lodging for physicians and resident personnel. As a historical fact it is worth mentioning that the first cobalt machine manufactured in the United States was installed in this clinic.

Dr. Isaac González Martínez directed and promoted all the educational campaigns organized by La Liga, and among the topics he offered were: "What Cancer Costs in Puerto Rico", "Cancer and Women" and "The Relationship of the Dentist and Cancer". In recognition of his vast experience, he was invited to Santiago de Chile, where he gave a lecture on the subject, "The last 10 years of uterine cancer treatment in Puerto Rico".

He also participated directly in all fundraising events. It is worth mentioning that Dr. Isaac Gonzalez Martinez was a very sociable man, as he was a member and sometimes founder of many prestigious organizations, which facilitated alliances in cancer crusades.

His multiple interests in medicine, his passion and dedication to his work, were the best examples for the medical students entering the newly founded University of Puerto Rico School of Medicine.