Help desciphering Ancestry DNA to find grandfathers father

[jason 20]

Good afternoon all, i'm hopeful someone can help point me on the right track before i get carried away.

My grandfather never knew who his father was. He was born in 1928

I know all of my fathers family, and my maternal grandmothers, so i figured looking at my matches on Ancestry DNA may help identify the family of my grandfather.

It's complicated by the fact my grandfathers mother also didn't have a known father.

I found a (extended family) member, unassigned, although was obviously from my maternal side as her public tree showed nobody i knew of.

her relation was 3rd cousin, or half 2nd cousin 1x removed
we shared 65cm across 4 segments of DNA.

So, as i understand it, me and this woman must have the same great-great grandparents, meaning we either share a single great grandparent, or our great grandparents were siblings, is that correct?

I looked at our shared matches, the next closest match we had was a man who was my 3rd cousin 1x removed or, half 2nd cousin 2x removed. i shared 49cm across 1 seagment of DNA with him

looking at his public tree, he shares an ancestor with the previous woman mentioned.

They're both descended from a couple named Thomas & Annie Atkinson.

i signed up to pro tools and they both are listed as half 2nd cousins 2x removed or 3rd cousins 1x removed to each other. There are, various other matches i have in common with these 2 people.

the issue is, Thomas Atkinson was married before he met Annie, he had children, then he married Annie, had more children, then they split and Annie seems to have had a few children after Thomas.

My question is, does it seem i'm on the right track looking at the son's of Thomas & Annie as a potential father for my grandfather.

The relationship between the previous mentioned people

The original Woman's great grandfather is the brother of person B's grandmother both children of Thomas & Annie

Hope you can follow

Best wishes

Jason

[jim1]

You're certainly on the right track & potentially a child of
Thomas & Annie could be the father.
Unfortunately you don't have enough matches at present so
you don't know for sure if the inherited DNA is from Thomas or Annie
or both.
As potentially 1/2 Cousins you may be descended from a child of Thomas from
a previous marriage or from a child of Annie after the split from Thomas.
hopefully if you're father is still with us it may be advantageous if his DNA was submitted as
the closer the match the better.
You could also upload your DNA to other sites which can be done FOC & see what that yields.