How do you pour a lead joint in vertical position for 4" cast iron waste pipeing,and what are the key tools for that procedure?

You're asking how to yarn, pour and caulk a lead joint. Let me explain about lead and oakum joints. I'm going to assume that you have a basic knowledge of the tools needed to pour and caulk a joint. A short course: It's not the lead that makes the joint water tight. It's okum, a hemp like material that swells up when water hits it. The lead is just to make sure the okum is packed in tight enough to seal. You should also know what special tools are needed to yarn and pour a joint from scratch. A lead ladle and a gas torch hot enough to melt lead in it. Then you need lead and okum. Next you will need a , yarning iron to push the okum down in the joint. A packing iron to pack the okum down tight. And last you will need inside and outside caulking irons plus a ball peen hammer.
Take a length of oakum and run it around the inside of the bell/hub and tamp it down with a yearning iron. Do this until the oakum is almost to the top. Now take the packing iron and ball-peen hanner and pack the oakum tightly in the bell. You should be left with a 3/8 to 1/2" of space for the lead.
Too much oakum? Take some out and repack it.
Now melt lead into the ladle and pour the joint to the top of the bell in one pour. Let the lead cool and set uo. Now take the inside caulking iron, ( the one with the bevel looking out) and caulk the inside of the pipe using enough strength to mark the lead well, but not strong enough to crack the cast iron bell. Do the same with a outside iron, ( the one with the bevel looking in.) and you've just poured and caulked a lead joint. ( And here you thought the only definition of a joint was one you rolled and smoked, LOL.) Good luck, tom