Australia's Jess Fox won the final in a clean run of 116.86secs, more than 10secs ahead of Mallory Franklin (Great Britain), with Lena Stoecklin (Germany) just 1.12secs ahead of Jones in third.
The C1 women's class was recently added to the 2020 Olympic programme and Jones, the silver medalist in K1 at the Rio Olympics, is hoping to race both in Tokyo.
She has already made a strong start with those ambitions, also making the semifinal of the K1 tonight.
Finn Butcher was the other Kiwi in action overnight, finishing 29th in the men's K1, which were won for the second week in a row by Czech paddler Vit Prindis.
Tauranga's Mike Dawson is in action in tonight's extreme slalom division, having won gold - and New Zealand's first-ever World Cup canoe slalom medal - in that event last week in the Czech Republic.