In Ohio, where she and I are from, each county determines what precincts it has and where to set up polling booths. I'm not familiar with any township in my neck of the woods (North East) that doesn't have its own polling location but most townships in Ohio are 5x5 mile squares with occasional rough edges where major rivers or lakes mess with things. That's actually the norm in the Midwest, where they just drew a big grid down and called them counties, then divided those counties often into 5x5 blocks of townships. As I understand the largest fraction of townships in the country are 6x6 mile blocks arranged in a 5x5 township grid in a county. For the most part, most states don't have any significant recognition of entities beneath county level except for incorporated municipalities, so it's not too likely there'd be a law requiring each township have its own polling location, but it also very unlikely any village or city wouldn't have one of its own for the former and multiple for the latter. A townhsip though will normally only have one location even if has two or three precincts and some township only have a couple hundred people, so I wouldn't be too surprised if some townships shared a polling location with a neighbor, and its not like most rural people don't routinely drive 5-10 miles just to grab groceries and refer to that as 'right down the road', after all. But generally even in states that require a reason be given for absentee voting distance and convenience are acceptable options, and most states don't have requirements for absentee voting so distance isn't a big factor.

Anyway, >7 miles as the odometer spins isn't often >7 miles as the crows flies, and that's very much the case in, for instance, the Appalachian foot hills of South East Ohio where roads often follow paths that look as neat and straight as the jumbled tangle of wires behind most peoples Computers or Entertainment Centers.