The serial number on the iPhone gives you all this info, you just need to map the code for colour to the colour itself.
Typical format of the iPhone SN is as follows: AABCCDDDEEF
AA = Factory and Machine ID
B = Year of Manufacturing (9 is 2009/2019, 0 is 2010/2020, 1 is 2011 and so on)
CC = Production Week (01 is week 1 of B, 11 is week 11 of B and so on)
DDD = Unique Identifier
EE = Color (A4=black)
F = size (S=16GB, T=32GB)
http://www.pressbyte.com/640/decode-iphone-hardware-information-serial-number/
This link may be helpful for getting the S/N.