This article suggests in several places that Plato at times called God (or, perhaps the Demiurge) by the name of "Father". However, I cannot find any such primary sources to validate the claim. Is "Father" simply a translation of demiourgos, or did Plato really call God "Father"?
A cursory search finds six occurrences of "father" in the text of the Timaeus, in all cases the original word being πατήρ .
28c: Now to discover the Maker and Father of this Universe were a task indeed; 37 c: And when the Father that engendered it perceived it in motion and alive,
41a: Those works whereof I am framer and father >are indissoluble save by my will.
42e: His children gave heed to their Father's command and obeyed it.
50d: ... liken the Recipient to the Mother, the Source to the Father, and what is engendered between these two ...
71d: ... For they who constructed us, remembering the injunction of their Father, when He enjoined upon them to make the mortal
Plato is not writing of any "god" (with a capital g). According to dictionaries δημιουργός (dēmiourgós), “one who works for the people; a skilled workman, a handicraftsman”, a compound work from demos and ergon, that is, a person working for the public/people.