Staying illegal is big crime here in US, even though there are millions of illegal immigrants . It did ask you to mention your last 10 year address, work and as far as i know , its just ask for dates you were there. Why you have to mention that you were illegal or so?
Does your passport has stamp that says deported ?
If they ask you tell them but don't tell them what they haven't asked you anything.
I really dont think UK shares travel history to US without any reason.