This says that the claim is a "popular Greek view" followed by Aristotle:
Contrary to a popular Greek view, which regarded the father alone as providing seed, a view that would be followed by Aristotle (Lloyd 1983, 86 ff.), Alcmaeon may have argued that both parents contribute seed (DK, A13) and that the child takes the sex of the parent who contributes the most seed (DK, A14). It has recently been suggested, however, that our sole source for these views (Censorinus) is mistaken and that, while Alcmaeon thought that both the male and female contributed to the child, only the male contributed seed (Leitao 2012: 278–79), the female contributing menses.
Here is a quote of translation of Plato's Timaeus,
Wherefore also in men the organ of generation becoming rebellious and masterful, like an animal disobedient to reason, and maddened with the sting of lust, seeks to gain absolute sway; and the same is the case with the so-called womb or matrix of women; the animal within them is desirous of procreating children, and when remaining unfruitful long beyond its proper time, gets discontented and angry, and wandering in every direction through the body, closes up the passages of the breath, and, by obstructing respiration, drives them to extremity, causing all varieties of disease, until at length the desire and love of the man and the woman, bringing them together and as it were plucking the fruit from the tree, sow in the womb, as in a field, animals unseen by reason of their smallness and without form; these again are separated and matured within; they are then finally brought out into the light, and thus the generation of animals is completed.
Here is a quote from Aristotle on the Generation of Animals,
That, then, the female does not contribute semen to generation, but does contribute something, and that this is the matter of the catamenia, or that which is analogous to it in bloodless animals, is clear from what has been said, and also from a general and abstract survey of the question. For there must needs be that which generates and that from which it generates; even if these be one, still they must be distinct in form and their essence must be different; and in those animals that have these powers separate in two sexes the body and nature of the active and the passive sex must also differ. If, then, the male stands for the effective and active, and the female, considered as female, for the passive, it follows that what the female would contribute to the semen of the male would not be semen but material for the semen to work upon. This is just what we find to be the case, for the catamenia have in their nature an affinity to the primitive matter.
Here is a quote from the Eumenides (Athena speaking),
Mine is the right to add the final vote,
And I award it to Orestes' cause.
For me no mother bore within her womb,
And, save for wedlock evermore eschewed,
I vouch myself the champion of the man,
Not of the woman, yea, with all my soul,-
In heart, as birth, a father's child alone.
Thus will I not too heinously regard
A woman's death who did her husband slay,
The guardian of her home; and if the votes
Equal do fall, Orestes shall prevail.
Ye of the judges who are named thereto,
Swiftly shake forth the lots from either urn.