Bioshock Infinite Walkthrough Part 29 – Guns For The Lady (Fort Franklin Pier to Finkton Proper)
Head over to the right, behind the partition to find the door outside. There are a number of police officers you need to deal with now. The big problem is that Elizabeth and her captors are behind bulletproof glass. The solution is simple though: Possession. Target one of the Founder below and possess them. Fight through the first wave which should be fairly easy with some aid from possession. It is when the barge arrives you need to pay attention. You will encounter Founders totting the Volley Gun. As long as Booker stays on the platform he is on it is harder for them to hit him with it.
With the barge on the field aim to the right-hand end of it. There is a Gun Automaton on it that you want to possess. That will thin the field and, most likely, it will get destroyed. Take your time and move into cover whenever your shield breaks. There are a lot of Founders to deal with in this area. There are at least 2 directly guarding Elizabeth so keep that in mind.
When the fighting is over (or you die) head into the prison they have on the lower level inside the doors opposite the platform Booker was on. Look in the left-hand cell to find an Infusion sitting around that Booker can grab. After that head back outside and grab onto the Sky-Line. Take it to the upper level of the prison complex. As you come in you will find the final 2 guards. Just keep to the Sky-Line and sweep past them to get some shots in. If you are feeling lucky then dive into the fight there.
Once the 2 guards are down open the door and give chase after Elizabeth. Follow her to the left on the Sky-Line. When you get to the end of it hop off and head over to the left. You will see Elizabeth ahead of you and Booker manages to get into more trouble. He almost gets thrown to his death but Elizabeth intervenes and then she cuts a deal with Booker so they can make it to Paris together.
Head over to the nearby gondola to the left. You can also see a Telescope across from it so hit that one up as well. The gondola has a lock (5 picks) on it. Have Elizabeth open it and head inside it. Look behind the door to the left to find a Silver Bar and a Gear Box. Grab them both and head over to the Telescope to the right, if you did not already.
Start up the stairs and go over to the right. You will find a Dollar Bill Vending Machine. Look into its inventory and you will notice it is selling Lockpicks. It has 3 in stock so buy them up ($48) as they are always good to have. Look over to the left to find a Minuteman's Armory. It has a number of upgrades so check them out and see if any suit your needs. After doing that head to the Double doors and leave the Finkton Docks to get into Finkton Proper.
Head over to the left when you get inside. You will find a Kinetoscope: “The Path Of The Vox Populi”. As you turn back to the right-hand side of this area look underneath the stairs you just came in on. You will find a Lockpick sitting there. From there head into the lobby proper. Move to the center of it and look around the office there. Inside to the left you will see a lockpick sticking out of the desk. To the left of that, on the desk, you will find another Voxophone: Jeremiah Fink “A Product Like Any Other”.
With that in hand head for the far side of the lobby. You will find there an Employees Only area. Have Elizabeth break into it (5 picks) if possible. Just inside to the right is an Infusion. After that time some time to search the whole area. You will find no shortage of desks to go over. Also, in the back of the area, on the final desk on the right you will find a Volley Cannon if you want to swap that into your arsenal. Head on out of the Employee's Area and make for the stairs to the left. Take them on down carefully.