Torque converter weight conundrum!

I've already posted about this little issue on my thread about a more purposeful truck, but before I make a move here I will kind of want to put this out to some of the work transmission minded gurus and non gurus with an opinion LOL.
So here's a little low down I bought a 360 Truck motor and automatic transmission 727 of course connected to a transfer case. The motor and transmission have obviously been tampered with rebuilt and definitely by people who didn't seem to know what they were doing. The guy I got it from said he bought the truck running and drove it home and seem to run just fine. It was rust bucket and got rid of the body. I get it home put the motor on the motor stand and noticed there's no weights on the torque converter? The harmonic balancer is definitely a 360 harmonic balancer. So far knocked the weights off a 904 torque converter I had in my shed. Now I plan to weld these weights about a pinkies with from either side of the drain plug? My question kind of is has anyone seen these weights anywhere else on a torque converter besides where the drain plug should be if there wasn't one or on either side of the drain plug? I just know that this thing must have to have the weights it's a 360 for crying out loud it goes against everything anybody knows. Thank you for anything ya got....