Found it... the RMC issue you would want to look for is June 1951. I hadn't looked at it for a while. I should note that I lived in Carteret for 20 years, from 1969 to 1989.
Yes, there was a hand operated draw bridge just about at the mouth of the Rahway River on the Sound Shore Branch, complete with smash boards (!).
According to a map of the branch, these are the industries shown as being along the line as of the article date, going from north to south, along with a few landmarks. I'm not sure whether these were just the main industries or all of them. The branch officially started just south of the Elizabeth River drawbridge as it came off the then double track mainline. The stations noted below were for the passenger service. Somewhere around here I have a passenger train schedule, but that's an archive dig for another day.
- Junction with "Bayway Extension"
- Phelps Dodge
- Bayway Terminal
- Morses Creek Bridge, 1.09 miles from start
- Standard Oil Acid Plant
- Grasselli Station, 2.25 miles
- Grasselli Chemical Works, DuPont
- General Aniline and Film (GAF)
- Connection to "Third Branch" and storage yard; the "Third Branch" also connected to the Elizabeth to Perth Amboy mainline
- Sinclair Oil
- Cities Service
- Warners Station, 3.53 miles
- American Cyanamid
- Drawbridge over Rahway River
- Petroleum Station, 3.97 miles
- American Oil Company
- Fertilizer Plant
- Williams and Clark, grade crossing with the New Jersey Terminal Railroad (I'll come back to that)
- Two Coal Yards, one on each side.
- First crossing of Roosevelt Avenue
[Notably missing from here is FMC, which I know was a customer in the 1960s.]
- Carteret Station, 4.75 miles
- Foster Wheeler - some of this track remains in place though unused
- Lumber yard - I know this was Carteret Lumber and still had service circa 1969-early 1970s, since I personally saw boxcars there
- Second crossing of Roosevelt Avenue. This is currently protected by full crossing flashers that will probably never see another train...
- Leibig's Lane Station, 5.30 miles. This is close to the current location of the Carteret Police Department
- Junction with the New Jersey Terminal
- Joint Sound Shore/NJ Terminal Yard
- Junction with the Reformatory Branch of the CNJ, which ran right through Carteret and bridged over the CNJ Elizabeth to Perth Amboy mainline on its way to points in West Carteret and Woodbridge.
- Double sided water tank, with a spout to the west for the Sound Shore and spout to the east for the NJ Terminal
- Chrome Station, 5.83 miles
- Continuation to the Port Reading Creosote Plant and Yard, and the Port Reading Yard of the Reading. I believe but can't be sure that this track connection was gone by the 1970s.
It's noted in the map that all of the waterfront industries in Carteret, including IT Williams and US Metals, were served off the New Jersey Terminal, not the Sound Shore Branch.
George in Rochester NY
The Unofficial Micro-Trains Release Report (among other things)