If ordering a birth cert, I would be going for Clifford Hughes b 1900 Oldham. it fits much more with what you know, and working backwards
I think the Andrew family on Cheshire is a red herring - the Andrew connection is far more likely to be to Clifford snr's wife
Life I think must have been hard. Sarah Hughes (nee Ashworth) never seems to be with her husband. It may be a complete coincidence but there's a Thomas Hughes b Oldham, who is a very similar age to Sarah, on the 1901 census in Dartmoor prison