Son of James Woodhouse Bibby and Mary Glover Bibby (née Tod). Edward Bibby enlisted for service in World War I in 1916 (Army no. 39937). After arrival in France he was sent to hospital with pneumonia and forwarded to England. He returned to France in February 1918 and took part in the Second Battle of the Somme that year, firstly in the rifle section and later as battalion runner. In the latter role, he was given the task at Le Quesnoy of carrying the news that the war was over. He was in Sling Camp during the riot in March 1919 before returning to New Zealand in May. After the war he became a farmer at Waipawa. In 1926 he married Mabel Catherine Hutchinson.
Throughout his life he was involved in community matters - he ran a non-denominational Sunday School at Ongaonga for over 45 years and served on the Ongaonga School Committee, the Ongaonga Hall Committee, the Ongaonga Cemetery committee, and the Hawke's Bay Rabbit Board. He was a foundation member of the Ongaonga Federated Farmers, chairman of the Forest Gate Domain Trust Board for 20 years, and was instrumental in the establishment of the Ongaonga Historical Society and subsequently the Ongaonga Museum. He was also an historian of the Waipawa and Ongaonga districts. In 1965 he was awarded the MBE for service to the community.