Trying to use binary search on object attribute

Im trying to do binary search in python for different objects with the same attributes. I started with the code, but dont know why its not working. I want to be able to put any name (attribute) and if its in the list be able to see that the value is there, and if not just return False.

class Person:
    def __init__(self, name,age):
        self.name = name
        self.age = age


    def __lt__(self,other):
        return self.name < other.name



def readfile(file):
    person = []
    with open(file, 'r') as f:
        for i in f:
            name, age = i.split('*')
            person.append(Person(name,age))
        return person


def binary_search(item_list, item):

    names = []
    first_position = 0
    last_position = len(item_list) - 1

    for i in item_list:
        names.append(i.name) # attribute of object
    
    names.sort() # sorting list
    

    while first_position <= last_position:
        mid_point = (first_position + last_position) // 2 

    if names[mid_point] == item:
            return mid_point
        else:
            if names[mid_point] > item:
                last_position = mid_point - 1
            else:
        first_position = mid_point + 1 
    return False

the_list = readfile('p.txt')
last_element = the_list[n-1]

binary_search(the_list,last_element)

source https://stackoverflow.com/questions/71198398/trying-to-use-binary-search-on-object-attribute