Questions about a funeral?

My boyfriend's grandmother passed away over the weekend and her funeral is tomorrow. I am going to the funeral tomorrow with my boyfriend's family (I'm going to be driving, taking my boyfriend and probably one or two of his sisters). My boyfriend rang me tonight and told me that his grandmother will be cremated after the service. He then asked if I would be able to drive himself, as well as another relative and her son to the crematorium after the service (which I am of course happy to do). He then said, and I quote, "it's family only so you'll be waiting for us in the car park". Now, I don't have a problem with this (I wouldn't want to watch anyone getting cremated, it would upset me way too much) but I do feel a little uncomfortable about being asked to do this. Is it wrong of me to be feeling this way? I don't know if anyone else who is not family (his sister's have boyfriends, and one has a fiance) will also be waiting in the car park, and if there's not I feel like a bit of a hanger on or something. Was it right of him to ask me to drive to the crematorium when I have to wait in the car park? I would much prefer just going to the wake (I haven't heard anything about one though) and waiting for him there, but I don't know how to tell him this? I don't want to seem insensitive, but at the same time I feel like I'm intruding on a family thing (even though I have known his grandmother for over 4 years and will miss her, she was a lovely lady).