Just read through HoMe XII - Last Writings - Círdan and there is no mention of something like that there either.
However, perhaps an explanation for the lack of a partner:
Quote:
Then, it is said, he stood forlorn looking out to sea, and it was
night, but far away he could see a glimmer of light upon Eressea
ere it vanished into the West. Then he cried aloud: 'I will follow
that light, alone if none will come with me, for the ship that I
have been building is now almost ready.' But even as he said this
he received in his heart a message, which he knew to come from
the Valar, though in his mind it was remembered as a voice
speaking in his own tongue. And the voice warned him not to
attempt this peril; for his strength and skill would not be able
to build any ship able to dare the winds and waves of the Great
Sea for many long years yet. 'Abide now that time, for when
it comes then will your work be of utmost worth, and it will
be remembered in song for many ages after.' 'I obey,' Cirdan
answered, and then it seemed to him that he saw (in a vision
maybe) a shape like a white boat, shining above him, that sailed
west through the air, and as it dwindled in the distance it looked
like a star of so great a brilliance that it cast a shadow of Cirdan
upon the strand where he stood.
As we now perceive, this was a foretelling of the ship (37) which
after apprenticeship to Cirdan, and ever with his advice and
help, Earendil built, and in which at last he reached the shores
of Valinor. From that night onwards Cirdan received a foresight
touching all matters of importance, beyond the measure of all
other Elves upon Middle-earth.
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And if he had had any partner, she was probably on the other side of the Great Sea:
Quote:
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Thus he forfeited the fulfilment of his greatest desire: to see the Blessed Realm and find again there Olwe and his own nearest kin.
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So it was perhaps because of this 'mission' he had received from the Valar that he did not wish to seek another in M-e, waiting for the Last Ship to bring him to his long lost love.
Then again, maybe he wasn't interested.
