Is your mother your said nan's daughter?
If she is your nan's daughter, what are her thoughts on the matter?
Me, I wouldn't tell my own Nan if she was alive, if your Nan wanted to DNA test she would. It is up to you and your mum, you know your Nan, we certainly dont .
Interesting some of you wouldn't want know if it was you in nan's position.
Nan has half siblings that she doesn't know about. My parent is in the OPs nan's position ( my parent has a half sibling that they don't know about)
I am in a extremely similar position to your mother, except it is my grandfather who fathered an illegitmate child and not the other way about( my granddad fathered an illegitimate child overseas when he was in he army, an affair) .
I have chosen not to tell my parent that they have a living half sibling. It is an extremely, extremely difficult decision to live with! And anyone who has ever been in the same position will know that.
I have been living with my decision of not informing my parent for just over two years, it is very hard to live with it , its not a easy decision.
That's why I asked you, about your mother's thoughts, as she is closer to the situation than you are, . Your nan's half sibling's are your mum's half uncles/ Aunts.
I am in contact with my half uncle ( they took a DNA test , it was how I intially found out , we both highly matched to eachother ,and it was pretty obvious. We match very high, almost half sibling level.) .
I assume your nan's half siblings haven't taken a test, and don't know about your mother or your Nan? ( as your mother would be highly matching to them, it would be pretty obvious to them that your mother must be their half niece).
I 100% think it's your and your mother's decision, not strangers, and certainly not one's who have never been in this situation.
( I received flak off someone here for making the decision not to tell my parent that they have a living half sibling )
It is YOUR and YOUR MUM'S DNA , it is therefore your and your mum's decision.
For some who think "the truth should be known". It is not your Nan, or your close family they will be hurting ,or not hurting. If we all spoke the truth, when some of the truths can gain no good and just hurt the people that you care deeply about - what a world it would be eh.
Best of luck to whatever you and your mum decide, only you and your mum know what is best in your own family's situation , I know it is not an easy decision either way - It's something I have to live with everyday not telling my parent and spend many sleepless nights over it - to tell my parent, it would extremely hurt them.
Very Kind regards