Hi
Can only find the following year of arrival
from http://members.iinet.net.au/~perthdps/shipping/mig-wa.htm
EENA 17 07 1863 Fremantle, from London ... ... 67 53 unknowns

From Passenger arrivals CD
only the following for 1863
Vincent, Mrs, departed London, arrived Freematle, ship Eena, 17/7/1863, Remarks, Mrs George
Vincent, George, 3 children
Rourke,Mrs --, Official document
Rourke, infant, born on voyage
Roland, Patrick, Inquirer Newspaper, 26/3/1884, pg 3b obituary
Quin, Robert Mr, 4 children
Quin, Mrs, Mrs Robert
Ibutcher John, Captain, Master of ship CSR530/87
Auckeleake, Miss, Returns? Perth Gazette 24/7/1863, pg2

The following site has articles on the Eena
http://newspapers.nla.gov.au/ndp/del/home

Kind regards,
Lynne