The second stove has been identified as a Coleman 425F. Made in the 70's and probably will be a parts unit due to poor shape. Must have been loved a lot! I did look up the green one and its a 425B made 54 to 62. The rusty one clearly has a red tank and it does fit good. Also has a hinged grate and hasp on lid. After I get some fuel I will see how these heat up.
That Coleman 425 can be restored easily, wash well with hot soap and water, and then soak the rusted parts in evaporust overnight, the case can be washed well first with some simple green or with kaboom grease remover, then in the dishwasher, if you want to have it nice, you can spray paint it afterwards with krylon hunter green.