According to Wikipedia and the list for USA Serial Killers there have been:
So maybe we could blame the world back then and maybe it may have been easier to get away with murder back in the 1700s-early 1900s.
Why the spike in serial killers starting in the 60s going reaching a peak in the 80s and going back to normal by the 2000s?
Please excuse my numbers. I have kids that don’t want to go to bed. It’s hard to make a tally chart with kids running around.
While not fully answering your question, this earlier answer about the seeming increase in serial killers in the 70s and onwards by /u/chickendance638 might help you understand some of the factors involved.
This is sort of a follow-on question that may be asking for a negation of the main question: How reliable would records of serial killers be in the 18th and 19th centuries?