Yes, the details in that second passenger record for Johan August Danielsen do seem to match the one I found. I wonder though with that baptism record you mentioned, if his father was named Carl would his surname then be Carlsson?
What is interesting is that looking more in depth at this website I mentioned above, regarding Norwegian & Swedish immigrants to Norsewood in NZ, is in the footnotes for details regarding Johanna Danielsdotter's birth in 1826 in Gothenburg, it says the following:
Sten Aminoff, Svenskarna I Nya Zeeland: Den svenska utvandringen till Nya Zeeland fram till 1940, Page 122, no. 222.
"ANDERSDOTTER, Johanna 1826 Gbg S... also called Johanna DANIELSDOTTER."
So according to this book written by Sten Aminoff, Johanna was recorded as Johanna Andersdotter, which would tie in with her father being Anders as per her death certificate. No idea why she would have gone by Danielsdotter then

Rather confusing! Could it be she took the same surname as her father "Anders Danielsen" as per her death certificate but the female version of it?