Darian,
Can you think of who these Tyrees might be? I had a look at the family tree on FS and I couldn't find a better option for Mr. Tyree, Mrs. Tyree, and Miss Tyree, than William Tyree Jn, his wife Mary Ann nee Cross, and Polly! As I understand it, they moved from NZ to Sydney in 1898 (change of address from NZ to Sydney seen on patent files).
The Australian Star (Sydney, NSW : 1887 - 1909) Thu 8 Sept 1898
Page 4
SHIPPING.
ARRIVALS — September 7.
Monowai, str., 3433 tons, Captain H. W. H.
Chattleld, from Dunedin, Lyttelton and Wel
lington. Passengers: Messrs. Edmonds, J. P.
Smith, Coutts, C. M'Donald, Hill, J. R. Thorn,
Sommervllie, Hirst, Gibson, Master Dashe, A.
Hail; J. C. Redmond, Gummoor, Skerrett, C.
Taylor, Solomons, J. Hoore, R. N. Fairbanlt,
C.P. Trevelyan Webb, J. Sinclair, Tyree, J.
G. Selby, Denby, F. Truman, Struther, D.
O'Brien, Congdon, F. W. Fairthorne, Webb,
Mesdames Edmonds and maid, C. Magnus,
W. E. Burt, Hirst, Gibson, Toy and child,
Jefferd, Abbott, M'Dairmond, Rawnsley,
Docksray, C. W. Windehall, Cody and maid,
Webb, Crighton and child, Tyree, Struthers,
Congdon and infant, Allen. Misses Booth,
Burt (2), M'Kinnon, Cousins, Henry, David,
Rawnsley, Elcomb, Sommerville, Roberts,
Tyree, Harrison, Allen; also 39 in the second
cabin; - F. w. Jackson, agent.