The misunderstanding was cleared out.
Lizbeth stated what had transpired in her childhood. She also mentioned what had just happened after Lith had slapped her.
Lith came to an understanding that Lizbeth's memory was distorted or tampered with. It was for this reason that she did not even know her name or where she came from or who her parents were.
"Can I see your memories?" Lith asked Lizbeth.
There could be some clue in there that Lizbeth had missed saying or perhaps she was wrongly comprehending.
The most concerning matter wasn't about Lizbeth's parents, but her purity. Now, it may sound scummy to think about that, and checking it would make one seem like a pervert, but Lith had his reasons.
The first and foremost reason was that Lith had to make Lizbeth understand that she wasn't defiled. There was lingering trauma related to it and this would be solved if he proves it to her.