theirs (pron.)youdaoicibaDictYouDict
possessive pronoun, "their own," early 14c., from their + possessive -s, on analogy of his, etc. In form, a double possessive.
theirself (pron.)youdaoicibaDictYouDict
emphatic plural pronoun, c. 1300, from their + self, with self, originally an inflected adjective, treated as a noun with a meaning "person." Related: Theirselves.