You can update it with a dictionary, since add another string is same as update the key with count +1:
from collections import Counter
c = Counter(['black','blue'])
c.update({"red": 1})
c
# Counter({'black': 1, 'blue': 1, 'red': 1})
If the key already exists, the count will increase by one:
c.update({"red": 1})
c
# Counter({'black': 1, 'blue': 1, 'red': 2})