Hopefully some of the following may be useful...

TRAPP Ludwig Carl Andreas arrived 14 Sep 1849 on the Ocean (Wolga) which sailed from Hamburg on 26 Apr 1849
http://www.slsa.sa.gov.au/fh/passengerlists/1849Ocean-Wolga.htmAlbert's siblings' births - [There are two entries with the same registration number on the marriage index on 11 Feb 1853 for Ludwig TRAPP - one with wife Dorothea Freiderika Maria KAMM and the other, same given names but surname ZERK]
South Australia
TRAPP Louisa
18 Oct 1853
Father Ludwig TRAPP Mother Dorothea KAMM
At Adelaide Ade 4/232
TRAPP Ludwig
4 Jun 1855
Father Ludwig TRAPP Mother Dorothea KAMM
At Adelaide Ade 5/164
TRAPP Carl Johann Eduard
15 Jul 1857
Father Ludwig Carl Andreas TRAPP Mother Dorothea ZWICK
At Adelaide Ade 11/107
TRAPP Albert Otto
25 Apr 1859
Father Ludwig Carl Andreas TRAPP Mother Dorothea KAR
At Adelaide Ade 15/91
Victoria
TRAPP Franz Louis
Father Louis Mother Dorothea KAMM
At Sandhurst 1861 Reg#22960
TRAPP Johanna Carline
Father Ludwig Mother Dorothea KAMM
At Sandhurst 1863 Reg#17119
TRAPP Edward Ferdinand
Father Ludwig Mother Dorothea ZURCH
At Sandhurst 1867 Reg#4542
TRAPP Caroline Louisa
Father Ludwig Carl And Mother Dorothea Fred Maria Zwick KAMM
At Sandhurst 1868 Reg#26114
TRAPP William Ludwig
Father Ludwig Mother Dorothea ZWECK
At Sandhurst 1871 Reg#25935
TRAPP Othilia Amalia
Father Ludwig Mother Dorothea Fredericka ZWICK-KAMM
At Sandhurst 1873 Reg#26888
TRAPP Dorothea Louise
Father Ludwig Mother Dorothea Fredericka ZWICK-KAMM
At Sandhurst 1873 Reg#23889
Some snippets about Ludwig
TRAPP, Ludwig
Missing friends 3 Nov 1855
Native of Rostock, Germany, arrived Melbourne 2 years back.
and the advertisement.
http://newspapers.nla.gov.au/ndp/del/article/4822466?searchTerm=ludwig+trapphttp://newspapers.nla.gov.au/ndp/del/article/5972957?searchTerm=ludwig+trappYou need to scroll way down the page...another award for his secretaire bookcase
Award in Melbourne Vic in 1879 to an Albert TRAPP for a model chest of drawers and L.Trapp of Williamstown for a secretaire bookcase.
http://newspapers.nla.gov.au/ndp/del/article/5941655?searchTerm=albert+trappTRAPP family burials at Williamstown Cemetery
http://mail.mempark.com.au:8008/mapguide/Altona/Public/Australian Electoral Roll
Western Australia 1903
TRAPP Albert 10 Weld Avenue, Perth Cabinet maker
TRAPP Edward 10 Weld Avenue, Perth Cabinet maker
TRAPP James 10 Weld Avenue, Perth Cabinet maker
1910
TRAPP Albert 10 Weld Avenue, Perth Joiner
TRAPP James 10 Weld Avenue, Perth Cabinet maker
Cheers
Cando