Tame Horomona Rehe was born on 7 May 1884 at Waikaripi, on the West Coast of Chatham Island.
Tame’s father, Rangitapua Horomona Rehe was born about 1852 on Rekohu. He was the son of Purehe (born around 1830, on Rangiaote, died about 1880) and Nakahu (born around 1830 at Ouwenga , died around 1880). They were married arouind 1850.
As a result of an arranged marriage between Moriori families, Rangitapua married Ihimaera Te Teira around 1880.
Rangitapua was a leader of his people until his death in 1915. Both Ihimaera and her husband Rangitapua had connections to Pitt Island, the second largest island of Rekohu.
Ihimaera passed away in 1903.