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Firstly I discovered that hitting the Print Screen button on the laptop does not do as it did before. Windows 11 has linked it to the Snipping Tool where you can do (from left to right) rectangular selection, freehand selection, window, or full-screen capture. So using the first one I can just copy the stuff out of documents that I am looking at and hey presto copy them into wherever I want. (I normally save the images but they are saved automatically anyway in your Pictures/Screenshots folder.

Thank you for your suggestions.  The maiden name for the mother of Henry HARRIS born in 1852 is given on the GRO Index as HARDEN and a Henry HARRIS married a Jane HARDEN in 1848 so that seems to discount him from being Henry HASE. 
Henry James HARSE was the s/o Henry HARSE and Isabella BOOTH.
Coincidentally Isabella's sister, Elizabeth BOOTH married a John KING and their daughter, Emma KING married Alfred HASE who was a brother of the missing Henry HASE!
Not sure about Henry Charles HARES but Henry HASE's mother was Selina HARES and her mother was Sophia STOCK - but that is another generation. 
It's such a pity that the references for Henry HAYNES are obliterated.  But looking at it again I think it's registered in Uxbridge not Axbridge.

I too considered Henry HARRIS which could be mistaken for HASE but there is also a Henry HAYNES registered 2/1852 Axbridge but the references are illegible so there is no matching record on GRO Online Indexes that will give the mother's maiden name.

HAYNES and HASE are pretty close phonetically, I think.

Added later:

I know it is a year after the baptism but there are two interesting entries for Dec. 1853.

Henry James HARSE  mmn BOOTH and Henry Charles HARES mmn STOCK.  Is t his a bit of a coincidence or am I just clutching at names to try to help.

...I, too, have an ancestor ( my 4GGM) whose death, in 1844 in Yorkshire, went to the coroner who pronounced that she had died from 'a visitation from God' - but she was 82!  Fortunately I was able to find the coroner's report and see all the witness statements - an interesting and informative document.

As you've found, Pat, where coroners' reports are not available they can usually be found written up in local newspapers.

Peter, I have received an email today saying test 290823, and to let you know if I have received it. Originating address appears genuine, did this originate from you? 

Wow, that's great.  It must be him, especially as the other Henry was buried at Emmanuel and everything else fits including father's occupation.  As always, thank you very much. Just shows how a second brain on the job is such a help!  I'm really pleased with this!