Here are the seas, straits, etc. for both North and South America.

North America
Lyr. Add: Oceans, Seas, Gulfs, Bays, Straits, Channels and Sounds.
Air: Bonny Doon, or the Winding Way.

1.
We now recite what Oceans, Bays,
Seas, Gulfs, and Straits, this land displays;
With the Atlantic Sea begin,
That hems the Eastern border in.
2.
Pacific Ocean takes its post
Upon the West and South-west coast;
The Arctic Ocean will be found
Extended on the Northern bound.
3.
The Polar Sea we next survey,
Then Barrow's Strait and Baffin's Bay;
In this same Bay two Sounds appear,
Whose names are Smith and Lancaster.
4.
To Melville Bay we next shall turn,
And North-East Bay's position learn;
Note South-East Bay, then Davis' Strait,
Which West of Greenland we locate.
5.
Cumberland Strait we now may view,
Frob'isher's Strait and Hudson's too;
See Hudson's Bay (in size 'tis grand),
Fox Channel mark and Welcome Strait.
6.
The Inlet, Chesterfield, we spy,
And James' Bay next attracts the eye;
Here Richmond Gulf we find and there
Musquito Bay (a small affair).
7.
Ungava Bay we note awhile,
Then seek thy narrow Strait, Bellisle;
Awhile at Gulf St. Lawrence wait,
Then reach Northumberland, thy Strait.
8.
The Strait of Canso, small in size,
North-east of Nova Scotia lies;
The Bay of Fundy next is found,
And then we seek Long Island Sound.
9.
To Bay of Delaware we speed,
And then to Chesapeake proceed;
To Gulf Stream, Caribbean Sea,
And Gulf of Mexico we flee.
10.
Campeachy Bay shall next be traced,
On which old Vera Cruz is placed;
Channel of Yucatan survey,
And scan awhile Honduras Bay,
11.
Bay Amatique before us lies,
And Guatemala Bay likewise;
Gulf of Tehuantepec we view,
And Gulf of California too.
12.
Franscisco Bay we now descray,
And De Fuca's Strait we spy;
To Georgia's Gulf in fancy bound,
And pause awhile in Charlotte's Sound.
13.
And now the muse delighted runs
To seek the Sound called Washington's;
Prince William's Sound is in our way,
Cook's Inlet and Bristol Bay.
14.
Pass farther North, on Russian ground,
To take a glance at Norton's Sound;
To Behring's Strait we next shall post
Fast by the Asiatic coast.
15.
To Coronation Gulf we sail,
And feel the Arctic's icy gale;
To Bathurst Inlet next we go,
Where oft the Polar tempests blow.
16.
A little farther go to greet
The Gulf of Boothia's cool retreat;
To Regent's Inlent (sic) then we skip,
And Winter Harbour ends out trip.

Look at a modern map of Alaska's coastline. The Purchase in 1867 added a hell of a lot of territory with myriad bays, sounds, archipelagos and even a natural 'canal.'

SOUTH AMERICA
Lyr. Add: Oceans, Seas, Gulfs, Bays, and Straits
Air: The Rose of Allendale

1.
Of South America we tell,
In geographic verse;
Its Oceans, Seas, its Bays, its Straits,
Its Gulfs and Sounds rehearse.
2.
Th' Atlantic Ocean on the east,
Pacific west is found;
Then comes the Caribbean Sea
To make a northern bound.
3.
The Guld of Darien on the north
Observing eyes may trace;
More eastward Venezuela Gulf
May likewise find a place.
4.
Lo! on the East Brazilian coast,
The Bay of All Saints lies;
But Blanco Bay much farther South
The travelling muse descries.
5.
The Bay of St. Mathias mark,
Glance Desengaño o'er;
These with St, George's Bay indent
The Patagonian shore.
6.
Magellan Strait, (a crooked pass,)
The Strait we call Le Maire,
In Patagonia find a place,
And Peñas Gulf is there.
7.
And Gulf Guaitéca now we note,
Then northward speed away
To see the Gulf of Guayaquil
And hail Sardinas Bay.
8.
Now on Grenada's westward side,
The Gulf of Choco see;
And then the Bay of Panamá
Our closing theme shall be.

1851, Key to Felton's Outline Maps.