'self-originating' is a compound of 'self' and 'originating'. 'Self' originates from Old English 'self', where 'self' meant 'oneself' or 'the same person/thing', and 'originating' comes from the verb 'originate', which ultimately derives from Latin 'oriri'/'origo' (via Medieval Latin 'originari'), where 'oriri' meant 'to rise' or 'to begin'.

'originate' changed from Latin 'oriri'/'originari' into Medieval Latin and Old French forms and then into Middle English as 'originate'; the modern compound 'self-originating' is formed in English by combining the Old English-derived prefix 'self' with the later verb-derived adjective form 'originating'.

Initially 'oriri' meant 'to rise' or 'to begin'; over time the sense shifted in English to 'cause to begin' or 'be the source of', and in the compound 'self-originating' the meaning has come to denote 'beginning or arising from oneself' (i.e., produced by itself).