Im just thinking as well as the personal family stories i'll ask about , it would be cool to also add to our understanding of the past by asking her about events which are poorly recorded ,incase she could help historians shed some more light on them.
edit:I should mention im referring to world war 2 in this post however she's been kicking about since 1928 so she's been through it all and lived in the shankill her whole life.
Just to clarify, do you mean World War 2? Or the Troubles? Or some other war?
The best thing to do in an interview like this is to try to have a conversation, rather than coming with pre-set questions and sticking rigidly to them. Obviously, coming prepared is important, but if you're just rattling off questions, you might miss something interesting or exciting. If she says something that pops out to you, follow up and ask her about it. And don't be afraid to follow threads that aren't entirely related to the war. There's a good chance that she won't have much information that historians don't already know about the actual history of the war, but she's probably full of stories on a personal level that can make the historical events seem much more relatable. And it's valuable as a part of your family's history as well, so be sure to keep extra copies of any recordings you make to save for posterity.
Storycorps in the US has a bunch of great resources on how to conduct an oral history interview, and if you have access to a library it might be good to read a bit of the master of oral history, Studs Terkel. The Smithsonian, the Oral History Association, and DoHistory.org also have good guides to conducting oral history interviews.
As for specific events to ask about for World War 2, it'd be interesting to hear her perspective on the various attitudes surrounding the war effort. I assume given her neighborhood that she is from a unionist background, and contrasting their feelings with any nationalists she might have known would be an interesting question. I've seen murals depicting both world wars all around unionist areas of Belfast, so I assume as a whole the community is proud of their wartime contributions. What were their views on whether their neighbors in Ireland should have joined the war (Ireland stayed neutral throughout)?
Also, I've heard that people in Belfast were more complacent about air raids and evacuations. Was there a big panic around the city before the Belfast Blitz, and how did she shelter during that attack?
Moving beyond WWII, I'd be fascinated to hear any of her stories surrounding the Troubles, and whether she knew some of the notorious characters from the Shankill area. Lenny Murphy and the Shankill Butchers, the UVF, and others terrorized Catholics around Belfast for a long time. And did she have any friends or acquaintances killed by the IRA, INLA, or any of the republican paramilitaries and terrorist groups? Again, getting personal stories can be much more valuable than just getting information. There's a lot that people are still scared to talk about, and she might be more willing to speak to her grandchild than to an academic or journlist, which makes your access valuable.
Assuming she was Protestant: What interactions did she have with English soldiers? Were family members involved in helping either side? What did they do? How was participation viewed? How did her perception change after Bloody Sunday? Was she ever "taxed" by the Provos? Did she have Catholic friends and how did she maintain those relationships? How were daily activities, like shopping, different?
Which war are you referring to?
What did she think of the Border Campaign?
Did the Irish language play a role in in uniting or dividing people during war and how important to both North and South is the Irish language's future in her opinion?