No, the expert from 2017 Central City was Stein's daughter. No indication that they went to anyone else.
The indication, as I said, is that they had photos of all the known speedsters taped up, including Jesse Quick, who isn't even from this universe. Lily Stein could not have been the source of that information. Maybe Gideon had the data (including data from Earth-2 somehow), but then, why print it out as photos instead of just putting it onscreen? The existence of those photos implies to me that, while they were in present-day Central City, one of them took the opportunity to drop by STAR Labs and pick their brains about speedsters, and that's where they got the photos.
I mean, it's simple logic. They need information about speedsters and they're in present-day Central City. Why wouldn't they contact Team Flash? They'd have to be a bunch of idiots not to. Okay, debatably they are a bunch of idiots, but not that big a bunch of idiots.