Below is my linux thunderbird profile, i've already moved a few files from the backup in here:
khronus@localhost ~/.thunderbird/gyaoy9qd.default $ ls
Mail compatibility.ini extensions.rdf panacea.dat
US compreg.dat key3.db prefs.js
XUL.mfasl extensions localstore.rdf secmod.db
abook.mab extensions.cache mailViews.dat virtualFolders.dat
cert8.db extensions.ini mimeTypes.rdf xpti.dat
This is the backup I took from my windows machine,
khronus@localhost ~/Thunderbird/Profiles/.thunderbird/default.vii $ ls
Mail cert8.db cookies.txt key3.db prefs.js
US chrome defaults.ini localstore.rdf secmod.db
XUL.mfasl compatibility.ini downloads.rdf mailViews.dat training.dat
XUL.mfl components.ini extensions mimeTypes.rdf virtualFolders.dat
abook.mab compreg.dat history.mab panacea.dat xpti.dat