I sure hope so. If they weren’t then maybe it’s better that Becky ended up on Earth with the Botsfords. Though I suppose they could have been looking for her at some point, and have just given up over the years. This would make sense, as I think many people on Lexicon probably realized that Captain HuggyFace vanished the same day this little girl did and assumed she was somewhere in space with him, and I’m sure trying to find your child from any place in the universe would be a difficult and hope draining task.
I think there was a crew member saying that Becky’s parents actually did find her on Earth, but when they saw how happy she was, they decided to not do anything. Though I can’t remember if this was a fact they were giving us or their own personal headcanon. If this is true, that’s kinda cute and I personally would like to think they stayed on Earth and watched her grow up from a distance.
Honestly, what I really wonder about her parents is what the circumstances were that left their baby unattended long enough to crawl onto a spaceship. When watching her origin story, Huggy seems to have his ship parked far away from anything. It’s just barren, flat terrain, so it’s not like she was crawling through anything that would have allowed her to be hidden like bushes or something. They would have been able to see her wobbling about from a pretty far away distance. This is something I’ve always wondered and I can’t think of what the situation would have been that would have allowed all this to happen.
Gravity Falls and Other Related Stuff 