Wildwood actually had two small wooden coasters that survived into the 1980's:
The Scream Machine/Screem Machine was located on Marine Pier West (right next door to Dracula's Castle), which is directly across from Mariner's Landing (the home of the Sea Serpent). That was a John Miller design, first opened in 1919 and originally named the Jack Rabbit (same year, same name, and similar size of the coaster at nearby Clementon Lake). It was removed in 1985 (I think) and replaced with "Nickel's Midway Pier", which once had a handful of carnival rides but was converted to a waterpark last year.
You could also be thinking of my beloved Flyer, which was on Hunt's Pier, located right next to Morey's Pier (the one with the Nor'easter). That was a 1957 John Allen coaster, identical to the (also gone) Angela Park, PA "Valley Volcano" and the Wyandot Lake, OH "Sea Dragon" which still operates today. It was bulldozed in February 1989 when the new owners of the pier decided to remove most of the pier's classic "custom" rides and replace them all with Vekoma's Kamikaze, which found a new home at SFOG as the Ninja in 1992. The Flyer holds a special place in my heart, as it was the first real coaster my father "dragged" me on, way back in 1987, and immediately sparked my coaster enthusiasm.
I hope that helps, I have pictures that I can scan if you are interested!