I explained this in my opening comments. I DID supply them all the information. However, thanks to the calculator given me here I was confident the decision was wrong. For that I thank those who suggested it.
Today, I spoke to a different person at Croydon office. A completely different attitude and she acknowledged they had the required documentation and did not understand how it could have been worked out otherwise and have re-instated the benefit. What is clear to me, is that many people who have jobs in the UK do not do them properly, especially in bureaucracies.
So thank you and it shows it is good to be persistent.