I am trying to get from My Starting DataFrame

to My Desired Results
.
I am trying to do a groupby on two columns (Name, Month) and I have a column (Category) that has either the value 'Score1' or 'Score2'. I want to create two columns with the name of values from the Category column and set their values to a value determined from another column.
pd.crosstab([df.Name, df.Month], df.Category)
is the closest I've got to create the desire data frame however I can't figure out how to get the values from my "Value" column to populate the dataframe.
Results from crosstab

The Dataframe in code form
df = pd.DataFrame(columns=['Name', 'Month', 'Category', 'Value'])
df['Name'] = ['Jack','Jack','Sarah','Sarah','Zack']
df['Month'] = ['Jan.','Jan.','Feb.','Feb.','Feb.']
df['Category'] = ['Score1','Score2','Score1','Score2','Score1']
df['Value'] = [1,2,3,4,5]
Thanks!