Not sure, but I doubt that Washington University in St. Louis accepts mid-year transfers, but contacting the school admissions office should be fruitful.
Based on the scant information shared in this thread about your daughter, I would encourage her to consider three different majors at Washington University in St. Louis (very nice location/beautiful campus/wealthy school). The three majors are:
PNP = philosophy-neuroscience-psychology
PB & S = psychology & brain sciences
Behavioral Neuroscience/Cognitive Neuroscience
A minor in Music may also be of interest:
Other elite schools which accept Spring transfers (need to verify):
Rice University (need 12 semester hours of credit and, at least, a 3.2 GPA
NYU
U Michigan
Notre Dame (requires at least a full academic year of credits)
Boston University
U Texas at Austin
Boston College (November 1 deadline)(requires just 9 credits)(test optional for transfer students–so a high standardized test score, while unnecessary, could be a huge boost) (has a Psychology & Neuroscience major)
U Wisconsin