The Queen City Bridge is correct, for mine.
To explain my hint a bit, the city limits versus the county lines in Manchester are disputed, depending on what source you use and who you talk to. However, some people consider Manchester to straddle portions of Hillsborough, Rockingham, and Merrimack counties. It's one of the only places that I know of where a single city rests in more than two counties.
Of course, Manchester is also known as The Queen City, hence the city being "Elizabeth".