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The paper manufactory at Felling Shore on the 1856/1862 OS 6 inch map:

https://maps.nls.uk/view/266662342#zoom=6.5&lat=1585&lon=6414&layers=BT

According to The Lost Mills by Jean V Stirk, a mill at Felling Shore was probably established as early as c1750.  After various mishaps (fires)...

From 1826, Fellingshore Mill producing brown paper was occupied by Messrs. Thomas Gallon & Co as tenants of Sir Robert Hawks, from whom Thomas Gallon bought it in 1860.

At John's baptism at Heworth, St Mary (as linked by Boo)
14 May 1840 John Gallon, of Felling Shore, son of Edward (paper maker) & Esther Gallon — so father Edward Gallon is a paper maker.

24 July 1875: Alston Herald and East Cumberland Advertiser

At Felling, at Brandling Terrace, 19th inst. aged 69, Mr Edward Gallon, paper maufacturer, much respected.

1871
Brandling Terrace, Heworth
*Richard Gallon, widower, 65, paper manufacturer, b Newcastle
plus his married daughter Mary (Hind), 26, Felling Shore (see Mary 1844 in Boo's list)
(plus Mary's husband and children)

transcribed Richard at FindMyPast, original unclear but I think Edward is a better fit.
transcribed Malard (!) at A*y


Newcastle-upon-Tyne,St. John 
22 Mar 1807 Edward Graling, born 29 Apr 1806, 3rd son of Simon Graling (papermaker, native of Costey, Norwich) by his wife Mary Mitchison (daughter of Thomas Mitchison, native of Simonburn parish, Northumberland) 

DRO has a note and annotations to the effect that they believe that this is Edward Gallon.

Note 1837 baptism linked by Boo for Edward's (first?) son, Simon.

There are newspaper reports from 1871 concerning a Chesterfield case involving a Jabez Brittain of the Old Ship Inn, St Mary’s Gate. Does that sound like your Jabez?

Added: apologies, you had all of this. I’ll shut up now.

Something to watch out for: as I recall from the days when I used to have problems, even if the image doesn’t upload (probably too large) the name of the image may, I believe, be saved so that when you try again after editing it still gets refused (because, duplicate name). And this same problem, of filename, definitely kicks in if you have a generic name like e ‘IMG_665”. So always try to give an image a unique name. I use three relevant words with hyphens as separators.

Probably you know this, but at Durham Records Online there is a Jonathan Emerson baptism at Stanhope, St Thomas in 1734, which isn't early enough for the marriage date of 1747. Nothing else that I can see. Their Stanhope records go back much earlier than this.