UPDATE: The FIG has released the official start lists and below is USA's competition order:

Vault: Morgan Hurd, Ragan Smith, Jade Carey
Uneven bars: Morgan Hurd, Ragan Smith, Ashton Locklear
Balance beam: Ashton Locklear, Morgan Hurd, Ragan Smith
Floor exercise: Morgan Hurd, Ragan Smith, Jade Carey

USA Gymnastics listed the gymnasts in alphabetical order in the press release below.

Release via USA Gymnastics
 
MONTREAL -- The United States has submitted its lineup for the women's qualification round at 7 PM ET on Wednesday, October 4, at the 2017 World Championships at the Olympic Stadium in Montreal, Quebec, Canada. The U.S. women are competing in the final qualification subdivision. The finals begin on Thursday, October 5, with the men's all-around. USA Gymnastics is providing live webcasts of all finals and the U.S. women's qualification session at usagymworlds.com.
 
The U.S. women's lineup for Wednesday's qualification round is listed below. The USA is competing in Subdivision 5 and starts on vault. The 2017 U.S. women's team features Jade Carey, Phoenix, Ariz./Oasis Gymnastics; Morgan Hurd, Middletown, Del./First State Gymnastics; Ashton Locklear, Hamlet, N.C./Everest Gymnastics; and Ragan Smith, Lewisville, Texas/Texas Dreams Gymnastics. Jordan Chiles of Vancouver, Wash./Naydenov Gymnastics, is the non-traveling replacement athlete.
 
All-around: Hurd, Smith
Vault:  Carey, Hurd, Smith
Uneven bars: Hurd, Locklear, Smith
Balance beam: Hurd, Locklear, Smith
Floor exercise: Carey, Hurd, Smith
 
This year's world championships is an individual world championships, which means world champions for men's and women's all-around and individual events are determined but there is not a team competition. Athletes advance to the respective event finals based on performances in the qualification rounds, with a max of two per country.