I have looked into this and this is what I think is correct. Am not really too sure on all the ins and outs so please anyone, any advice, or personal experience would be very much appreciated.
From what I gather the father can request for flexible hours, but the company does not have to actually do anything about it, they can consider it and then reject it if so required. They can also "change" your department etc so that you can do different hours, to a less suitable role as they say it does not fit in with the needs of the business.