Hi Cynthja,
Re.... "Robert Bye arrived in Australia on the Hersperus in 1883. He was listed as a single man, ag. labourer. "
I cannot see a ship named "Hersperus".
Ohhh, OK, a further look, has the ship spelt "Hesperus", arriving 1883, in South Australia.
http://freepages.genealogy.rootsweb.ancestry.com/~deadsearch...Mary
ADDED:
Emily Garbet, also arrived 1883 on the "Hesperus". Their first child was born in 1884, in Adelaide, South Australia.
1884 BYE Gertrude Emily Robert BYE Emily GARBETT Adelaide 342/272
http://trove.nla.gov.au/ndp/del/article/93174234?searchTerm=... passengers&searchLimits=l-decade=188|||l-year=1883
Emily Garbet is listed on Page 7, of the above article, as is Robt BYE.