Murray's career started upon his return to Sydney in 1924. He was appointed as a Macleay fellow at the
Linnean Society of New South Wales. He was also made a lecturer at the
University of Sydney. His research largely focused on
embryology and
morphogenesis in a lab setting. His work at the University of Sydney largely focused around how different parts of chick embryos develop. Specifically, his work focused on the development of single
somites, which develop early in embryonic development. He also focused on unsegmented
mesoderms and the skeletal development of chicks in the embryonic stage. He accomplished this by using
chorioallantonic grafts, which became a signature part of the later work in his career. His work after leaving from the University of Sydney was focused around the development of the heart in the embryonic stages of a chick. ==Personal life==