Eluréd, the eldest son of Dior: his name has the same meaning as his father's, Eluchíl, the Heir of Elu or Thingol.
Elurín, the youngest son of Dior: his name means 'in remembrance of Elu.' {1}
When the sons of Fëanor came to sack the Kingdom of Doriath and to reclaim from Dior son of Thingol the Silmaril which Beren and Lúthien wrested from Morgoth, a battle ensued in which Celegorm, Curufin, and Caranthir were killed. Dior and his wife were murdered and the servants of Celegorm, third son of Fëanor, kidnapped and subsequently abandoned the two sons of Dior, Eluréd and Elurín, in the woods of Doriath. Maedhros is said to have searched for them, but his search found no success. The Silmarillion plainly says that no tale tells the fate of Eluréd and Elurín. Indeed, Tolkien never tells us what became of the two boys. {2}
Sources:
1. Index of Names in The Silmarillion
2. The Silmarillion p. 292 [1977, pbk]
Hypertextual Systems by FMI Publishing, 1995