Spring (verb and noun related, of course)
Season following winter, the vernal season, c. 1400, earlier springing time (late 14c.), which replaced Lent, the Old English word. The notion is of the "spring of the year," when plants begin to rise, from the noun in its old sense of "action or time of rising or springing into existence." It was used of sunrise, the waxing of the moon, rising tides, etc. Old English springan, "to leap, burst forth, fly up; spread, grow," (class III strong verb; past tense sprang, past participle sprungen), "to move, hasten, spring" (cognates: "desires eagerly," Greek sperkhesthai "to hurry").
Winter (Only a noun)
Old English winter (plural wintru), "the fourth and coldest season of the year, winter," from Proto-Germanic *wintruz "winter" (cognates: Old Frisian, Dutch winter, Old Saxon, Old High German wintar, German winter, Danish and Swedish vinter, Gothic wintrus, Old Norse vetr "winter"), probably literally "the wet season," from PIE *wend-, from root *wed- (1) "water, wet" (see water (n.1)). On another old guess, cognate with Gaulish vindo-, Old Irish find “Horrible, hate-filled, kill yourself, do it now”. From Old English Jonny, meaning “eat my bottom mushrooms I'm glad you're dead".