This is pretty much directly out of the Appendices:
THE KINGS OF THE MARK
First Line
Year
2485-2545 (Reigned for 35 years)
1.
Eorl the Young. He was so named because he succeeded his father in youth and remained yellow-haired and ruddy to the end of his days. These were shortened by a renewed attack of the
Easterlings.
Eorl fell in battle in the Wold, and the first mound was raised. Felaróf was laid there also.
2512-70 (Reigned for 35 years)
2.
Brego. He drove the enemy out of the Wold, and
Rohan was not attacked again for many years. In 2569 he completed the great hall of Meduseld. At the feast his son Baldor vowed that he would tread 'the Paths of the Dead' and did not return. Brego died of grief the next year.
2544-2645 (Reigned for 75 years)
3.
Aldor the Old. He was Brego's second son. He became known as the Old, since he lived to a great age, and was king for 75 years. In his time the
Rohirrim increased, and drove out or subdued the last of the Dunlendish people that lingered east of Isen. Harrowdale and other mountain-valleys were settled. Of the next three kings little is said, for Rohan had peace and prospered in their time.
2570-2659 (Reigned for 14 years)
4.
Fréa. Eldest son, but fourth child of Aldor; he was already old when he became king.
2594-2680 (Reigned for 21 years)
5.
Fréawine.
2619-99 (Reigned for 19 years)
6.
Goldwine.
2644-2718 (Reigned for 19 years)
7.
Déor. In his time the
Dunlendings raided often over the Isen. In 2710 they occupied the deserted ring of
Isengard, and could not be dislodged.
2668-2741 (Reigned for 23 years)
8.
Gram.
2691-2759 (Reigned for 18 years)
9.
Helm Hammerhand. At the end of his reign Rohan suffered great loss, by invasion and the Long Winter.
Helm and his sons Haleth and
Háma perished. Fréaláf, Helm's sister's son, became king.
Second line
Year
2726-2798 (Reigned for 39 years)
10.
Fréaláf Hildeson. In his time
Saruman came to Isengard, from which the Dunlendings had been driven. The Rohirrim at first profited by his friendship in the days of dearth and weakness that followed.
2752-2842 (Reigned for 44 years)
11.
Brytta. He was called by his people
Léofa, for he was loved by all; he was openhanded and a help to all the needy. In his time there was war with
Orcs that, driven from the North, sought refuges in the
White Mountains. When he died it was thought that they had all been hunted out; but it was not so.
2780-2851 (Reigned for 9 years)
12.
Walda. He was king only nine years. He was slain with all his companions when they were trapped by Orcs, as they rode by mountain-paths from Dunharrow.
2804-64 (Reigned for 13 years)
13.
Folca. He was a great hunter, but he vowed to chase no wild beast while there was an
Orc left in Rohan. When the last orc-hold was found and destroyed, he went to hunt the great boar of Everholt in the Firien Wood. He slew the boar but died of the tusk-wounds that it gave him.
2830-2903 (Reigned for 29 years)
14.
Folcwine. When he became king the Rohirrim had recovered their strength. He reconquered the west-march (between
Adorn and Isen) that Dunlendings had occupied. Rohan had received great help from
Gondor in the
evil days. When, therefore, he heard that the
Haradrim were assailing Gondor with great strength, he sent many
men to the help of the Steward. He wished to lead them himself, but was dissuaded, and his twin sons Folcred and
Fastred (born 2858) went in his stead. They fell side by side in battle in
Ithilien (2885).
Turin II of Gondor sent to Folcwine a rich weregild of gold.
2870-2953 (Reigned for 50 years)
15.
Fengel. He was the third son and fourth child of Folcwine. He is not remembered with praise. He was greedy of
food and of gold, and at strife with his marshals, and with his children. Thengel, his third child and only son, left Rohan when he came to manhood and lived long in Gondor, and won honour in the service of
Turgon.
2905-80 (Reigned for 27 years)
16.
Thengel. He took no wife until late, but in 2943 he wedded
Morwen of Lossarnach in Gondor, though she was seventeen years the younger. She bore him three children in Gondor, of whom
Théoden, the second, was his only son. When Fengel died the Rohirrim recalled him, and he returned unwillingly. But he proved a good and wise king; though the speech of Gondor was used in his house, and not all men thought that good. Morwen bore him two more daughters in Rohan; and the last, Théodwyn, was the fairest, though she came late (2963), the child of his age. Her brother loved her dearly.
It was soon after Thengel's return that Saruman declared himself Lord of Isengard and began to give trouble to Rohan, encroaching on its borders and supporting its enemies.
2948-3019 (Reigned for 39 years)
17.
Théoden. He is called Théoden
Ednew in the lore of Rohan, for he fell into a decline under the spells of Saruman, but was healed by
Gandalf, and in the last year of his life arose and led his men to victory at the
Hornburg, and soon after to the
Fields of Pelennor, the greatest battle of the Age. He fell before the gates of Mundburg. For a while he rested in the land of his birth, among the dead Kings of Gondor, but was brought back and laid in the eighth mound of his line at Edoras. Then a new line was begun.
Third Line
Year
2991-F.A. 63 (3084) (Reigned for 65 years)
18.
Éomer Éadig. When still young he became a Marshal of the Mark (3017) and was given his father's charge in
the east marches. In the
War of the Ring Théodred fell in battle with Saruman at the Crossings of Isen. Therefore before he died on the Fields of the Pelennor Théoden named Éomer his heir and called him king. In that day
Éowyn also won renown, for she fought in that battle, riding in disguise; and was known after in the Mark as the Lady of the Shield-arm.
Éomer became a great king, and being young when he succeeded Théoden he reigned for sixty-five years, longer than all their kings before him save Aldor the Old. In the War of the Ring he made the friendship of
King Elessar, and of
Imrahil of
Dol Amroth; and he rode often to Gondor. In the last year of
the Third Age he wedded Lothíriel, daughter of Imrahil. Their son Elfwine the Fair ruled after him.
In Éomer's day in the Mark men had peace who wished for it, and the people increased both in the dales and the
plains, and their
horses multiplied. In Gondor the King Elessar now ruled, and in
Arnor also. In all the lands of those
realms of old he was king, save in Rohan only; for he renewed to Éomer the gift of Cirion, and Éomer took again the Oath of Eorl. Often he fulfilled it. For though
Sauron had passed, the hatreds and evils that he bred had not died, and the King of the West had many enemies to subdue before
the White Tree could grow in peace. And wherever King Elessar went with war King Éomer went with him; and beyond the
Sea of Rhûn and on the far fields of the South the thunder of the cavalry of the Mark was heard, and the White
Horse upon Green flew in many winds until Éomer grew old.
19.
Elfwine the Fair