The making of the Sun

Mythology of the Thompson Indians, James Teit, p321
"A long time ago the world was all dark; there was no sun. So all the people came together to make a sun. Somebody proposed that Quilquilaken, the red-headed Woodpecker, should be put in the heavens for a sun. He was accordingly put up, but was found to be too hot; and, objections being made, he was taken down again. Then Skwirhan, the Crane, was chosen, but objections were made to him also. He was so long in the legs that noon arrived before he was properly up. This made the day so short that it was advisable to try someone else. So they took down Crane, and put up Sinkelep, the Coyote, in his place. Now, every time Coyote rose, he called out and told everybody what he saw going on. This so greatly displeased the people that he was speedily taken down. The people then chose Slukwactilt, one of Coyote's sons, and placed him in the heavens. He gave great satisfaction, and was allowed to remain. Haiyacenuq is the present name for the sun."

Some of the many sun miracles may have been depicted here.

"there was no sun" has a parallel in "Light and Darkness" Mythology of the Thompson Indians, James Teit, p334
"Formerly the animals were undecided whether they should have constant light or constant darkness. Grisly Bear and many others wanted the latter, while Chipmonk and many more wished for the former. They strove, and Grisly Bear's party prevailed in magic; and continued darkness settled over the world. Now, Chipmonk knew, that, if he burned the magic tree near Spences Bridge, the world would become light again; so he set fire to its roots, and poked the ashes away with a stick, that the wind should fan the flame. When the tree fell, the earth became light. Then Grisly Bear appeared in a great rage, and commenced to extinguish the flame by throwing earth on the log and on Chipmonk, and crying, "le pa, le pa!" Chipmonk would poke the log, and cry, "Tse ka, tse ka !" and light would stream up; but when the Grisly Bear threw on earth, darkness would come again. Thus they strove, and neither altogether prevailed: so it was agreed that it should be part day and part night. Grisly Bear was angry at Chipmonk, and chased him into a hole, tearing his back, and leaving the marks or stripes we see on the chipmonk now."

"the Sun was found to be too hot" has a parallel in Old-One and the Earth, Sun, and People and "The Sun and the Lad" Mythology of the Thompson Indians, James Teit, p230
..the village left the boy four blankets..When the lad gave Sun his blankets, he make him promise to be cooler. Before that, Sun was very hot.

Coyote and Grisly Bear make Night and Day

The Jesup North Pacific Expedition, Part VII - The Shuswap, James Teit,1909, p738
"Coyote was living in an underground house with Grisly Bear. One day Grisly Bear said, "I do not like so much daylight. I wish to hove it night always." Coyote answered, "No, that would not do, people would not be able to see. I wish it to be light. It was afternoon, and Grisly Bear commenced to sing his magic song, saying "I wish darkness to prevail always. I will beat you Coyote: it shall never again be light." Soon darkness came, and Grisly Bear sang, "See, Coyote! I have beaten you: never again will it be light" Then Coyote sang, and the daylight began to come. He said, "See the light coming Grisly Bear! I have beaten you: your powers are not equal to mine.""

Coyote as Sun

"The people were dissatisfied with the sun, and thought they would make a new one. They appointed Coyote to be the sun. He took up the duties, and went his rounds. Whenever he saw married women commit adultery or fornicate, he would call and let all the people know. This angered some of them very much. He also came so near the earth sometimes, that the people were almost burned. They deposed him, and put Red-Shafted Flicker in his place. Later on the latter laid an egg, which was changed into the present-day sun." - Could this be the Phoenix Bird? The Chinese Phoenix Bird?

This Salish pictograph of a rising sun. The sun in dusk on Israel for Zechariah 480 BC would be just rising here -120° longitude.

"noon arrived before he was properly up" may refer the sun moving 180° westward on the other side of earth. This Maori legend has a parallel:
Oceanic Mythology Roland B. Dixon 1916: (New Zealand Maori)
"Maui went off eastward to where the sun climbed daily out of the underworld, and as the luminary went up,the hero noosed his legs one after the other and tied the ropes strongly to great trees. Fairly caught, the suncould not get away, and Maui gave him a tremendous beating..To save his life, the sun begged for mercy, and onpromising to go more slowly ever after, was released from his bonds." - If the sun move 180° other than on the equinox earth must twist to keep in the same season. Thus days must be of irregular length till the twist was completed. See Calculations.
"Walpole tells a Samoan story of a man who was toiling hard in the erection of his house..but the sun passedacross the sky so quickly that he made little progress..Then the great Itu provided a noose. The sun being thenin a bad season, tired and dull, put his head in the noose and was caught, and was held and could not move untilthe man had completed his house, when it was allowed to resume its career." VS

You may read more like legends at Joshua's Long Day.