There were all kinds of first during the period from 1879-1882.
The true first Edison system was at Menlo Park in December of 1879. The laboratory complex, three private homes (including Edison's), and street lamps were first exhibited in nightly demonstrations between December 21 and December 27. The big one being on the 27th for Edison's investors. Public demonstrations occurred on December 30, 31, and the night of January 1. The street and dwelling lamps continued to burn nightly for several weeks.
The 2nd first occurred in March of 1880 when Edison installed a lighting system on the steamship Columbia. This was also the first installation to include lamp sockets, key switches, and fuses.
So, Pearl Street and Vulcan Street came almost two years after these two firsts.
All of them are incredibly interesting and historic...