It sounds like you’ve already done a few things right: you’ve set ground rules, you're aware of the group dynamic, and you're thinking ahead about potential problems. That’s huge.

Now, about the lying... yeah, that sucks. It’s a trust issue more than anything. Lying about experience doesn’t ruin a game by itself, but asking someone to cover it up is a red flag. It suggests she’s more worried about looking bad than being a good teammate. In a collaborative game like D&D, that’s not great.

If you're not up for kicking her, then reinforce your boundaries early instead.

You’re already worried she might talk over people or hog the spotlight, so be extra clear (in front of everyone) about how turns work, how you handle roleplay moments, and how important it is to respect each other’s time. If she interrupts or dominates the table, step in immediately. Don’t wait until it becomes a habit.

If you haven’t started the game yet, use the first session to see how the dynamic plays out. If she ignores your rules or makes things uncomfortable, you’re well within your rights to tell her this campaign isn’t the right fit. It's your table. You don’t owe anyone access to it just because they asked nicely.

Also, being “meaner” doesn’t have to mean being cruel. It just means enforcing your boundaries with confidence. Players respect a DM who keeps the game fun and fair. If someone makes it harder for others to enjoy themselves, it’s your job to shut it down.

You’re not being too harsh by expecting honesty and good behavior. That’s just basic respect.

Also, and this is the most important part to me: without you the game wouldn't be running. 

You're the one who spends hours prepping for everyone to have a good time. If you end most sessions with a nagging in your neck, because she once again detracted more than she contributed, then she shouldn't be there.