Thanks all
I would like to apologise to my mystery relative for using "They, Them, Their" when referring to them (it sounds really impersonal to me but trying to keep this anonymous). I also want to apologise for referring to their "conception" - it all sounds a bit clinical but I guess that's DNA for you :-(.
It appears that you chaps are strongly leaning towards a half sibling relationship on my paternal side but can I ask are other relationships still possible?
When their, my sisters and my my results are put into
https://dnapainter.com/tools/sharedcmv4 it only indicates that the relationship could be:
Grandparent / Grandchild
Pretty unlikely given that there only 3 years between our ages :-)
Aunt - Uncle / Nephew - Niece
I have compiled an pretty extensive family tree and cant see any link to or evidence of family in London or any links to their family.
For us to be Aunt - Uncle / Nephew - Niece am I correct in thinking that this would have to be pretty obvious relationship given our DNA match results.
"Conceivement" would have been around 6 months before my parents met I'm not sure about their mums situation at that time but she was very young as was my dad. Their mum is still alive but I'm not sure if they would want to approach her about this. (I work in healthcare and know that in the early 1960's that pregnancy dates were nowhere near as accurate as now so it may be their mum wasn't even aware of any potential paternity issues especially given that she was so young).
Unfortunately all of my dads siblings and my mum are dead - they would have been my best source of information.
I did ask at a recent large family "gathering" if anyone had any clues about my dads movements around that time without success - certainly no family rumours that anyone was aware of.
I lived in London for a few years and my dad never gave any indication that he had ever lived there but that doesn't exclude him visiting London at some time (my spouse has half jokingly suggested Blackpool or Butlins as a possible link).
With regards to further DNA testing to get clear evidence of our link and given both our fathers are dead would the next best people to test be either one of their siblings or an aunt / uncle on their dads side if any are alive?
Finally they are positive that our link must simply be as cousins although neither of us can see how this would fit given our families having no known links and our strong DNA match.
I guess a question is - Given the DNA results between them, my sister and myself, is us being cousins a possibility (& if so how would / could this fit)?
I really am acutely aware that if this rabbit hole does lead to us being half siblings that the emotional impact on them is immeasurably greater than on my sister and I.
Thanks again everyone.