I have posted on this Tabien bahn (house book ) issue before, but for the benefit of newcomers. A farang or any non Thai national cannot under any circumstances have their name added to it. It is blue colour and resticted soley to Thai nationals. It shows an entitlement to vote or even stand for election, subject to age limitations. A non Thai, farang, or other Asian person, can if married to a Thai national be eligble for a Place of abode document. It is yellow in colour and entry in it is restricted to non Thai citizens.It can make it easier to register a vehicle including a motorbike in your own name and for obtaining a Thai driving license for either. It is no means neccessary though as these transactions can be done just as easy with a letter showing address in Thailand, obtainable from any immigration office.
The yellow book requires extensive investigation into your affairs in your home country before it is issued. These include , a criminal record check, a letter from the relevant tax authority that all taxes due have been paid, and even, in countries with matrimonial responsibilties legislation, that you have and will continue to abide by court ordered maintenance of an ex wife and children.Some countries will also record your living abroad to limit or even cancel entirely your right to some social benefits, including freezing further increases in your pension.
My personal opinion is , so much hassle for little or no actual benefit. I have a Swedish neighbour who went down this house book road and ever since, every 6 months , as regular as clockwork, he gets a letter from Sweden asking him to verify he is still alive, which entails, visits to immigration,the local police and a translation office. Not worth it