Steve,

There appears to be an understanding (which I'm in no position to question) that Bullen's whaler was the 358-ton barque SPLENDID.

Here are a couple sources, for example, that make the claim:

https://natlib.govt.nz/records/23079883?search%5Bi%5D%5Bname_authority_id%5D=-103803&search%5Bpath%5D=items

https://journals.sagepub.com/doi/10.1177/0843871413513100