I had some difficulty finding Eugenia Brennan's immigration record but eventually found her recorded as Eugene Brennan, travelling from Antilla, Cuba to New York in 1918. She gave her final destination as the home of her cousin Lily Williams of 22 Wildwood Terrace, Glenridge, New Jersey. Her place of birth was Clarendon, Jamaica and her occupation was dressmaker.
In 1905, April 6th, Frederick Joyce Brennan (son of Frederick Brennan) married Ethel Eugenia or Eugena Hogarth in Jamaica. Index Jamaica, Civil Registration Birth, Marriage, and Death Records, 1878-1930
On June 24th 1906, Violet Eadney Brennan was born to Frederick Brennan & Egena Hogarth.
Ethel Eugenie Brennan died Feb 23 1974 at home in Mary Brown's Corner, St. Andrews, Jamaica in the home of her husband Frederick.