You're not crazy - we do it all the time. There's a local minor league team where the stadium has a lawn seating area so it's perfect for kids. It sounds like you're not expecting much from her, so it should go pretty smoothly. Definitely bring a backpack with snacks, drinks, diapers, whatever (I know they say no outside food, but a sippy cup and some cheerios probably won't be confiscated). There's a backpack called the "KangaKid" that is both a regular pack and a baby carrier, but I haven't tried it so am not sure whether it's as cool as it looks. I wouldn't bother with a stroller unless it folds down really small - between getting to the park, getting in the gate, up the stairs, getting back home again, it's just going to be a hassle. The game will probably go about 3 hours, so you may get to stay for most of it, but don't expect to have any idea what's going on on the field. She may just enjoy going up & down the stairs the whole time....
There should be a website for the stadium that has more tips, and a lot of stadiums have kids stuff around (ours had a playground behind center field until the last remodel). Enjoy it!!!
