Who polices Franklin
Franklin is covered by Connecticut State Police Troop E rather than a town department, so the officer who arrests you here is a state trooper.
Route 32 runs through the town and carries a share of the enforcement. Whichever way the arrest came about, there is no local station holding your file: the troop does, and it is who a family calls to find out whether someone is still being held.
Where your case goes
Franklin cases go to Norwich Superior Court, GA 21, a short distance southeast at 1 Courthouse Square. Downtown parking is mostly paid and on the street, so allow time for it even on a short trip.
Released, your date is on the paperwork you were given. Held, you go to court the next business day, where the bond is reviewed.
After the arrest
What happens over the next few days follows the bond. A promise to appear or a payment and you go home with a date; neither, and you wait in custody for court the next business day, when the amount is looked at again. The arrest page and the bond and bail page cover both.
Do not explain the stop to the trooper or to anyone else, and do not treat a holding call as private, because it is recorded.
Where the arrest is a family violence arrest, none of that timing applies: court is the next business day, and the protective order issued there can shut you out of your own house that afternoon.
Common charges in Franklin
Route 32 traffic gives DUI and drug possession the leading share of a small Franklin docket at GA 21, with assault, domestic violence and family violence, and larceny and shoplifting behind them. For a first offense the realistic aim is a diversionary program ending in dismissal.