Very interesting indeed - and thoroughly confusing.
I just spent some time trekking through various websites, trying to sort out the connection (if any) between the U.S.S. Burleigh and the S.S. Hawaiian Pilot. I thought we'd sorted out the story in an earlier Forum thread (//forums/463882/ShowPost.aspx ). In that thread (scroll down almost to the bottom), a member named Imperator Rex (who, unfortunately, doesn't seem to have been taking part recently) quoted an impressive-sounding source as saying the Burleigh and Hawaiian Pilot were the same ship. I believe the instruction sheet in the Revell Burleigh kit says the same thing. Unfortunately, Imperator Rex doesn't seem to have identified his source.
But Surface_Line's version (that the Burleigh was named Sonoma in her civilian life, and the Hawaiian Pilot was originally named White Squall - and was never a Navy ship) agrees with several other web sources I found, including this one: http://www.theshipslist.com/ships/lines/matson.htm .
One of these accounts obviously has to be wrong. The scale tilts in favor of the Revell/Imperator Rex version when we consider one obvious point: the "shipslist" site and the book quoted by Surface_Line seem to say that Matson Lines didn't operate a ship named Hawaiian Pilot prior to 1961, whereas the Revell Hawaiian Pilot kit was originally released - complete with Matson Line decals - in 1956. There also are several accounts on the web of a collision between the S.S. J.R. Luckenbach with a freighter named Hawaiian Pilot in 1953. (In that other FSM Forum thread, somebody - I don't remember who - turned up a photo of the damage to the Hawaiian Pilot's bow. Apparently the wreck of the Luckenbach is still lying off the California coast.)
Reading between the lines a bit, it looks to me like the problem may lie in the frequency of the use of the name Sonoma. The quote from Mr. Worden's book, if I'm reading it correctly, says that (A) the U.S.S. Burleigh was eventually renamed S.S. Sonoma (3), and that (B) the S.S. White Squall was renamed S.S. Sonoma (2), which was in turn renamed S.S. Hawaiian Pilot. The "shipslist" website seems to agree. (I wonder if the people who set up that website may have based this part of it on Mr. Worden's book.) A mixup by somebody of two ships named Sonoma would seem to explain the discrepancy.
The Dictionary of American Fighting Ships (which is available online) is of no help. The entry for the Burleigh ends when she was sold out of Navy service. Navsource.org has one photo of the Burleigh; it certainly looks like a picture of a C-3 freighter (with the addition of that big deckhouse on top of the midships superstructure). But it says nothing about her postwar career.
Sorting out the names of merchant ships is often a challenge. The most reliable way to do it is to track the history of the ship in question through the annual volumes of Lloyd's Register - easy if one happens to have a shelf full of those volumes handy, which I don't. (The library of he museum where I used to work had a full set, dating back to 1776. Our university library doesn't.)
Trying to sort through all this has given me a headache, and I still don't know the answer. I'm inclined to think the Burleigh and the Hawaiian Pilot were the same ship, but I'd certainly be receptive to further evidence.