After Ian passes a sign that shows him to be in Terre Haute, IN, a Lucky Baldwin's Pub is visible in the background. Lucky Baldwin's is in Pasadena, CA, not Terre Haute, IN.
It is given that Ian and the baby have been on the road driving for at least one full day if not longer, only to be found in Terre Haute, IN. The Gallaghers live in South Side Chicago somewhere, so that would only be a 3-hour, 15-minute drive, certainly not long enough for the sun to set or to be as worried as the Gallaghers are.