Wooden brig Eleanor, built Pwllheli 1799, 104 tons. Registered Caernarfon, later owned Dublin, then Ipswich. In LR, with somwhat conflicting details, basically built Wales 1800, brig 104 tons, then schooner 97 tons later. Eleanor is a quite common name, so tracking history is probable but not definite.
Trading London to Liverpool, master Williams, described as of Caernarfon, she was captured by the American brig of war, Argus, off Lundy, on Wednesday 16 August 1813. She was released, carrying the crews and passengers of other vessels captured. The Argus was later attacked by HMS Pelican, off St David's Head, and surrendered.
Voyage Newcastle to Liverpool, described as of Ipswich, master George Scrutton, collided with Dolphin of Aberdeen, on 16 March 1831, 17 miles S of Aberdeen, and sank, crew saved.

[from Cumberland Pacquet and Ware's Whitehaven Advertiser - Tuesday 24 August 1813]:
Bristol. On Wednesday last, about half past seven in the morning, in sight of Lundy, in the midst of a very of thick fog, the United States brig Argus, Captain Allen, found himself in the midst of the Leeward Island Fleet, eleven in number. About eight o'clock his operations seem to have commenced, and from the accounts which we have gathered, it is truly astonishing that more mischief has not ensued. At this hour the Argus first chaced and captured the Betsy, George Meryweather, shortly after she fell in with the John and Thomas, from Poole to Liverpool with pipe clay, also the Eleanor, Williams, of Carnarvon, bound to the same place; all of which she captured. Her next attack was upon the Mariner, Gilbert, from St. Croix, having on board one of her owners and his son, who has most obligingly communicated several particulars to us, and whom we sincerely congratulate upon his safe arrival in the bosom of his family, after his perilous rencontre. The Mariner and the John and Thomas were burnt. Mr Allen was three hours on board the Mariner, making his arrangements and giving orders. She had actually a Pill pilot on board. The Eleanor was given up and the prisoners of the captured vessels were put on board her - and she arrived yesterday morning at Pill. [Betsy sent to France].
The Argus, American brig of war, 22 24-pound carronades, and 2 long guns, with 135 men, was captured on Saturday se'ennight, between the Smalls and Tuskar by the Pelican brig of war, after an action of about an hour, and is arrived at Plymouth.

More details of battle between HMS Pelican and USS Argus. [includes a painting]

[from Stockport Advertiser and Guardian - Friday 08 April 1831]:
Running Foul. The Eleanor, George Scrutton, master, sailed from Aberdeen on the 16th last and about 17 miles Southward of that port, the Dolphin of Aberdeen came in contact with her and started one of the butts of the wales, in consequence of which she sunk and filled in twenty minutes in forty fathoms water. The crew fortunately saved themselves by geting on board the Dolphin but lost everything they had on board. [Loss of an Ipswich vessel, general cargo from Newcastle to Liverpool]