A birth of Jonathan HOUSLEY was registered in Basford district December quarter 1855 - which would correspond with Johnathan MOSS aged 5, with Mary Ann in 1861.
A death of Thomas HOUSLEY was registered in Basford district September quarter 1855 - although as age of deceased isn't given on the indexes this early it isn't definite that this is James Housley Moss's father.
I also have a feeling that Moss is Mary Ann's maiden name - she doesn't seem to have married a Mr Moss after Thomas died, (and if she did, it wouldn't explain why James started calling himself Moss ) nor does she seem to have married Thomas Housley.