Fantasy girl locked in closet travels to magic land

This is definitely not a Narnia or Oz book. I think the cover was of a girl standing at a table that had a stack of books and a candle on it, and she was holding a baby alligator or crocodile. It's not the book Coraline but I think that might have been the girl's name, and she lives somewhere in England I think in the 1800s possibly. She attends a funeral (I think it's her mother's, since her father remarries, but it also might have been her father's). Her stepmother (could also have been an aunt or some sort of nanny) is very mean to her and ends up locking her in a closet, but she ends up traveling to some sort of fairy world. I think she attends a wedding there, but she only spends a day in that land before returning to her own, where there's a police officer or someone who has broken into the closet. She steps out and everyone (including the stepmother) is super surprised because apparently she's been locked in the closet for a year (similar to Narnia, time in the worlds is apparently different). In the real world she has a baby pet crocodile/alligator and I think her father is a merchant, but I don't remember any other details. I think she travels back to the fantasy world a few times but I don't remember entirely, if anyone has any ideas to what that could have been please let me know! (I've literally been searching for this book for years, I think it was a library book I borrowed in middle school or something)

Sounds like I, Coriander by Sally Gardner.

Yes, I just looked it up and you're right, thanks!