Although I understand that the ML and MC have to meet at some point, it seems a bit silly for a woman with at least the mental age of 18 to run away from someone clearly not looking for her in this situation and getting separated from her bodyguard. You can recall these cures for poison and all these things about trade routes but not get in your mind that maybe you are the only one that regressed with your memories? If the 1st prince reeeeeeaaaallly wanted to find you, he can submit a petition to your family's estate instead of wasting his resources on the capital on the off chance his loyal dog runs into a younger version of you.