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Their children will most likely be after their marriage in 1773, so for this there is no need to know when James was born.  I asked because many families used a particular pattern for naming their children:

Quote

Scots often named children by following a simple set of rules:

    1st son named after father's father
    2nd son named after mother's father
    3rd son named after father
    1st daughter named after mother's mother
    2nd daughter named after father's mother
    3rd daughter named after mother

https://www.scotlandspeople.gov.uk/guides/forenames#Forenames%20and%20naming%20patterns 

and scroll down to Traditional Naming Patterns.

If you can find the baptisms and names, then you might be able to get an idea of the parents; names.


Gadget

I have seen the patterns before and on the Pringle side even up until present day we have a lot of James’, Richards, George, Mary, Agnes, Isabella.
I’m assuming Richard and Agnes Elmer are twins as they are both down as born 01/01/1744 Duns to Richard Elmer and Agnes Dickson.
 
So if these are the correct people they were named after their parents, and possibly grandparents.

For James Pringle and Agnes Elmer I’m unsure how to even think of names and dates and in which order too. 
If they were married in 1773 then there could be a child, or children, before Richard b.1777.
I presume the names used would have been an Agnes and a James though 

I did think of other variations but then this document made me think it is Elmer.
Each variant I’ve thought of I’ve searched it and only had Elmer come back.
I’ve tried Elmor, Elmore, Elemor, Elemour......Even Alemor, Aleman, Alemer. I can’t think of anymore 

It’s James Pringle that I can’t seem to find out about to continue that line. So far just a document to say the marriage was in the parish of Dunse, Coldingham.
I’d really like to find him.

I'm late to the party and I haven't yet started the puzzle of Mary Carty 

George Pickering (b.1845 Houghton Le Spring) was my 3rd Great Uncle he married
Alice Harker (b.1849 Houghton Le Spring)

Their children were

John George Pickering (b.1871 Houghton Le Spring)
William Henry Pickering (b.1875 Houghton Le Spring) (died on board ship)
James William Pickering (b.1878 New South Wales)

George, Alice and John George arrived in Australia in 1877. William Henry died on board during the journey.

John George Pickering (b.1871 Houghton Le Spring)
Married
Margaret Elinor Dyson (b.1875)

Their children were

John George Pickering (b.1899 New South Wales)
Alice Pickering (b.1912 New South Wales) (d.1913 New South Wales)
And I think there's a third child but haven't got the info yet.

John George Pickering (b.1899 New South Wales)
Married in 1923
Alma Elizabeth Drinkwater (b.1901 New South Wales) (d.1941 New South Wales)

John George Pickering (b.1899 New South Wales)
Married again in 1942
Evelyn Ada Vero (b.1901 Boulder) (d.1976).

That is as far as I have got so far and by the looks of it I have a lot more to go.

Julie

Thanks for replying Maxine

I have only just started looking into them after joining Ancestry after a break but I've got them arriving in Australia.

How is your friend connected to them?

My Gran was a Pickering.

George's brother Abraham was my Great Great Grandfather.

John Pickering, George's Dad was my GGG Grandfather.

Julie.