Albert Cook married Katharine Timpson, a missionary nurse, in 1900, with whom he had two daughters and a son.

He and his wife opened a school for midwives at Mengo and authored a manual of midwifery in Ganda, the local language (Amagezi Agokuzalisa; published by Sheldon Press, London).

Albert Cook started training African medical assistants at Mulago during the First World War, and in the 1920s, encouraged the opening of a medical College that initially trained Africans to the level defined by the colonial government as "Asian sub-assistant surgeon".

Cook established a treatment centre for the venereal diseases and sleeping sickness in 1913, which later became Mulago Hospital.

He was president of The Uganda Society in 1933-1934 preceded by Justice F. G. Smith and succeeded by Edward James Wayland.