2004 Bonnie? What about Charley? 

I recall Hurricanes Bonnie and Charley hitting Florida within a day of each other, and both of them passing off the Jersey Shore a few days later.  It was the remnants of Charley, not Bonnie, which brought the heaviest rain to the Jersey Shore on August 15th, 2004. Bonnie might have spread some light rain a day or two earlier, I don't specifically remember, but Charley passed off our coast as a 40 mile per hour tropical storm. I remember this clearly because the most intense wind and rain were far ahead of Charley's center, and when the center was closest, there was no rain or wind to speak of onshore, mostly offshore. Earlier that day, Charley had been a Category One hurricane off of South Carolina, and a day or two before that, a monster Category 4, hitting Punta Gorda, Florida. Later that season, New Jersey got rains from the remnants of Frances, Gaston, Ivan & Jeanne. Jeanne was the strongest, and brought the most intense winds of that season, although Charley was far wetter. I will try to find sources to back this up, but I have followed every New Jersey tropical storm & hurricane since 1976, and work in the Office of Emergency Management. Some of the worst conditions I've ever experienced were during the passage of Tropical Storm Ernesto in 2006, because the wind and rain lasted a long, long time: about two days, with frequent gusts near hurricane force, even over that threshold just south of here..  Floyd, Bertha, Gloria and Belle were  stronger, but they moved faster. My community, Seaside Heights was in the direct center of 70 mph Tropical Storm Floyd in 1999, with a dead calm lasting about an hour, sandwiched between periods very, very wind conditions. Hanna in '08 was the biggest wimp of all these storms: a bit of rain and wind, but mostly hype.

I looked up the history of Bonnie and Charley from the National Hurricane Center.

Bonnie, http://www.nhc.noaa.gov/2004bonnie.shtml? passed east of the Jersey Shore, and probably did bring light rain, but it was not memorable

Two days later, on the 15th, Charley, http://www.nhc.noaa.gov/2004charley.shtml?  did the same, but in a much more dramatic way.

I am going to add this to the page. Thanks.

 Popartpete