Getting the wrong location data using GeoPy Geocoders with Python

I am very new to python and I am trying to run a csv of zip codes with geopy that will give me the city, state, country. I import the file and run the packet then add a column Address. I want to have all the cities in the city column, state in state column, country in country column etc. I have got the code below to run and splits the address, but not by category just by the delimiter. Could anyone help me with this?

import csv
import pandas as pd
from geopy.geocoders import Nominatim

test_filename='test.csv'
df=pd.read_csv(test_filename, dtype=object, index_col = 1)
df.head()

geolocator = Nominatim(user_agent="user_me")

from geopy.extra.rate_limiter import RateLimiter
geocode = RateLimiter(geolocator.geocode, min_delay_seconds=1)
Address = geolocator.geocode("Billing Zip")
df['Address'] = df["Billing Zip"].apply(geocode)
df['Address'] = df['Address'].astype(str).str.replace('.', '')

df[['City', 'County', 'State', 'Zip Code', 'Country', ' ', ' ']] = df.Address.str.split(',' , expand = True)
print(df.head())

Below is what the output look like:

I would like the output to be:

How would be the best way to do this?

Thank you!