Thrihyrne

I thought Aldarion's boat was Númerrámar, the Wings of the West?

It was sort of his ship, but not really his own. That was the name of the ship on which Anardil/Aldarion first sailed to Middle-earth with his maternal grandfather, Vëantur, Captain of the King's Ships under Tar-Elendil; the Númerrámar, as I understand it, was Vëantur's own [yes, in UT's Index it is identified as Vëantur's own vessel].

When Aldarion spoke of this venture, and asked leave to go as soon as the spring winds should be favourable, Meneldur was loath to grant it... "I shall miss you sorely; but with Vëantur as captain, under the grace of the Valar, I shall live in good hope of your return. But do not become enamoured of the Great Lands, you who one day must be King and Father of this Isle!"

[snipped couple of paragraphs re: the voyage, which lasted two years]

There was joy in Rómenna and Armenelos when men saw the great ship Númerrámar (which signifies "West-wings") coming up from the sea, her golden sails reddened in the sunset. The summer was nearly over and the Eruhantalë was nigh...
(UT: Part Two - The Second Age: II Aldarion and Erendis - The Mariner's Wife)

Palarran was the great ship Anardil/Aldarion built after his estrangement from his father and before he became engaged to Erendis (it was she who brought the bough of oiolarië (the Bough of Return) to set on the prow of the vessel before he set sail, both events against his father's wishes).

He spoke no more to his father of such matters, but passed his days upon the ship Eämbar in the company of the Venturers, and in the building of a vessel greater than any made before: that ship he named Palarran, the Far-Wanderer.
(ibid)

Note that the Palarran was the second of Anardil/Aldarion's ships, the first being Eämbar.

At that time he [Aldarion], having no mind to live upon land in Armenelos, had a ship built that should serve as his dwelling-place; he named it therefore Eämbar, and at times he would sail in it from haven to haven of Númenor, but for the most part it lay at anchor off Tol Uinen: and that was a little isle in the bay of Rómenna that was set there by Uinen the Lady of the Seas. Upon Eämbar was the Guildhouse of the Venturers, and there were kept the records of their great voyages;...
(ibid)

What can I say? It's the research geek in me... :-p (*plus this is all part of my own Númenorean story arc*).