Hi @Athena, congrats on finding out you're naturalised and I hope 2 years on your kids have the passport and future freedom of choice!
I see you've visited the forums recently, so hoping you see this.
I have the opposite problem.. thought I was naturalised, but turns out I was registered same day as my Dad naturalised (we'd been in the UK for 6 years at that point). That was a few hundred pounds of application fee wasted to be told I was in the wrong category.. doh.
May I ask who your visa agent was you consulted?
I need one who has a good working knowledge of the categories for application, as I'm 90% sure my kids are eligible, but my family history is tricky (mum was british citizen from a young age - but born in a british colony in africa pre-independence, and her mum was british-born), and so an expert may be needed to deal with it.