Agreed looking at the 1881 Scanned IMAGE, he was born in BRADFORD - BUT the Transcribed Version did read BradFIELD - I have sent another Correction in to FMP.
The extracted Transcription is a simple Copy and Paste of what FMP made available for printing - so contains EXACTLY what you would have read on the FMP site, before (my) Correction is applied.
Rather incredibly, my two earlier Corrections have already been incorporated, ie on the same day. It usually takes a week to a fortnight for confirmation of acceptance or rejection, followed by an indefinite period before it is incorporated in to the working transcribed database, if accepted.
My experience of the Military Birth Records is limoted; but rather like the Old Parish Records, are brief one-liners.
You may have to contact the St Helena authorities to find out if there are any church records out there.
Incidentally, when replying to anyone such as myself or anyone helping you such as William Hartley, use the "Follow-up" facility on my/their posting, NOT on your own original.
It is also useful if you state, in this case, which Census and the site you found it on.