2987 - Jordana Gardner is born the daughter of cargo longhaulers. She grows up with flying in her blood.
2998 - 11-year-old Jordana is totally unaware when the Legion of Super Heroes reawakens Mogo the living planet, who begins coalescing Oan Energy to restart the Corps.
3002 - 15-year-old Jordana saves her parents & a freighter of passengers from pirates. She is summoned to join the new Green Lantern Corps.
3005 - 18-year-old Jordana & the new Green Lantern Corp assist the reformed Legion of Super Heroes against the Dominators.
3006 - 19-year-old Jordana joins the Legion of Super Heroes to ensure they work openly with the Lantern Corps.
The Green Lantern Corps is one of the biggest parts of DC's universe of interstellar characters, so it's absolutely to be expected that their influence extends all the way into the world of The Legion. Rond Vidar, the Green Lantern character serving a member of the Legion, was introduced in 1966 and appeared in many of the various versions of the teams timeline in some very interesting stories, some of which involved him actually serving as a spy within the ranks of the Legion.
We won't be using him.
Instead, we're taking a page from the comic tie-in with the animated Legion of Superheroes series, and using the completely unique character invented there; Jordana Gardner. Her name is clearly meant to suggest that she's a descendant of several famous modern-era Lanterns, and she has a fantastic energy that will make her an excellent addition to our newly reformed Legion. In the comic she's refered to as Teen Lantern, which has a certain Legion flare, but we chose instead to go with a bit more traditional Legion name Lantern Girl.
If nothing else convinces you that this is absolutely the character we need to go with: Her partner within the Lanterns is Gen'ma, and anthropomorphic panda.