These are the HEYME deaths in that time frame in Victoria.
HEYME Hy
Father Jno Resseigh
Mother Emily Williams CRAGO
Age27
Death Place East Melbourne
Year 1889
Reg. 8423
HEYME Wm Jno
Father Jno Reseigh
Mother Emily Williams CRAGO
Age 34
Death Place Katamatite
Year 1891
Reg. 2255
William John can be seen on the 1861 census with his parents The two, Henry and William, above are brothers to the James HEYME (father of Thomas Gilbert HEYME) who is mentioned above by whiteout7 in reply #4. who is also on the 1861 with the same parents
Here is James death
Name Jas Heyme
Death Place Hampton, Victoria
Age 73
Father's Name Jno Heyme
Mother's name Emily Crago
Registration Year 1933
Reg 8921
Sue