No, it would still be ' Geneva ' (without the article)-- though I find it odd to omit ' Lake ' in the first place. I lived for many years on the shores of Lake Michigan, and though we often called it ' the lake ', we never referred to it as simply ' Michigan '-- and certainly not ' the Michigan' !
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.