Grandparents name issues

What is a partial grandmother?

Probably meant parental!

What's a parental grandparent then???

Paternal! I'm sure.

I think the OP is perfectly entitled to be known by whatever term they like and the others should respect that. However, I can see how first names could be seen as okay by some. Uncles and aunts are usually first name terms - Uncle Jim, Aunty Joan, for example. But that didn't apply to grandparents in our house. It was grandma or grandad followed by surname.

Use her name tacked on to Nanna ? See how she likes it

It's a bit annoying to be assigned a name, but I think it's best to let it go. Or perhaps say you'd like to be e.g. GrannyP or whatever your first name is.

I also think that grandparents should choose, but if both want to be called the same thing, there has to be a way to differentiate. In that case, that differentiation should be up to the individuals too. As a child we had a Granny and a Nana, and grandfathers were Grandad Firstname and Grandad Surname, oddly. I'd never considered that until now. Children just accept what they are told, usually.

I don't think it's disrespectful either way, other than that the other grandmother isn't listening to the OP when she asks for her wishes to be respected. Also, if surnames are used, it is the father's parents who usually have the same name as the grandchildren, which could be made into an issue if the maternal ones were insecure enough.

When the children are older you could gently correct them, though. 'No, silly, I'm Granny Smith, aren't I?' would do it (better if your actual name doesn't make you sound like an apple though )

What were you wanting to be called?

I and my companion grandmother are both known to our grand children as Grandma M0nica and Grandma Susan. When we are all together DGC call us just Grandma, unless the name is needed to make it clear which grandmother is being addressed.

Bunnny try making a joke of it with the children instead of correcting them.
For example if they call you Granny Bunnny rather than just Granny, call them Granddaughter Polly or Grandson Tommy.
When they say, "Hey I'm just Polly!" (Or Tommy) you can say, "Yes and I'm just Granny," and have a laugh about it with them.
Hopefully 😁

It may not seem like a big issue to others but it is to you and your DH so the other grandma and others in the family should respect your preferences, it isn’t hard to do, so they should just do it.