Do the Pali texts on jhana actually mention Samadhi and/or One-Pointedness by name in the jhana descriptions or is this mention apocryphal?
The terms 'jhana', 'samadhi' & 'one-pointedness' ('ekaggataṃ') are all found in the sutta passage below:
And what is the faculty of concentration? Katamañca, bhikkhave, samādhindriyaṃ?
It’s when a noble disciple, relying on letting go, gains concentration, gains unification of mind. Idha, bhikkhave, ariyasāvako vossaggārammaṇaṃ karitvā labhati samādhiṃ, labhati cittassa ekaggataṃ.
Quite secluded from sensual pleasures, secluded from unskillful qualities, they enter and remain in the first absorption... So vivicceva kāmehi vivicca akusalehi dhammehi savitakkaṃ savicāraṃ vivekajaṃ pītisukhaṃ paṭhamaṃ jhānaṃ upasampajja viharati.
From SN 40.1:
Then, friends, the Blessed One came to me by means of spiritual power and said this: ‘Moggallāna, Moggallāna, do not be negligent, brahmin, regarding the first jhāna. Steady your mind in the first jhāna, unify your mind in the first jhāna, concentrate your mind in the first jhāna.’ Then, friends, on a later occasion, secluded from sensual pleasures, secluded from unwholesome states, I entered and dwelt in the first jhāna, which is accompanied by thought and examination, with rapture and happiness born of seclusion."