The Green Book is a reprint of the 1950 Parts Catalog that Ford printed. It was the last parts catalog that Ford made in the USA that covered the 28-48 cars and 28-47 trucks. It contains many changes and omissions from earlier parts catalogs. When publishing the Green Book Ford wasn't interested in how the vehicle was originally made, rather Ford was interested in what parts they still had that would fit onto any given vehicle if it rolled into their garage for repair. I have both a Green Book and a parts catalog printed at the end of the year for each vehicle I own. I have about two feet of book shelf space dedicated to old Ford parts catalogs, but somehow I find parts faster than my friends who only have a green book.
Regarding the Mitchell fitting without floor modifications, you will find different answers from people. I called Mitchell at one point and was assured no floor modifications would be needed to fit one of their overdrives into a 38 Ford passenger car. There is a 36 Ford around that has a Mitchell that required floor modifications, and I measured up the location of the overdrive. Sure enough, I would have to modify my floor too. I highly recommend measuring your vehicle and making up your own mind. Please don't take this as a bashing of the Mitchell, they are a great overdrive.