Jones scored singles from the fourth end on, forcing both teams to stop play after seven ends.
Earlier in the day, Scotland's Even Muirhead defeated Jones 8-2 after scoring deuces in the third, fourth and fifth ends.
Both Jones and Muirhead will play each other in Saturday's quarter-finals.
In the other evening draw, Switzerland's Binia Feltscher edged Nina Roth of the United States 5-4 to advance to the quarters.
Earlier in the day, Edmonton's Chelsea Carey beat Winnipeg's Kristy McDonald 9-7 and Edmonton's Heather Nedohin slipped by Feltscher 5-3.
On the men's side, Glenn Howard of Penetanguishene, Ont., edged Scotland's David Murdoch to advance to Saturday's C division qualifer.
Howard scored three in the first end and held off a late attack from Murdoch for the victory.
Calgary's John Morris also advanced to the qualifier in the other men's evening draw with a 7-5 win over Charlottetown's Adam Casey.
Earlier in the day, Olympic champion Brad Jacobs of Sault Ste. Marie, Ont., beat St. John's, N.L., native Brad Gushue 7-3.
Jim Cotter of Kelowna/Vernon, B.C., beat Edmonton's Brendan Bottcher 8-3 while Saskatoon's Steve Laycock downed Toronto's John Epping 6-4 in earlier action.