Grandpa Lowell is a carpenter with five granddaughters whom he absolutely adores. He wanted to do something very special for all of their upcoming birthdays and ended up taking on a very large task. He decided to hand craft rocking chairs for them, each from a different type of wood, each with their names embossed and a music box attached to each playing a different song. From the clues given, determine the age of the granddaughter, the type of wood used, and the melody the chair played.

Girls: Amanda, Bonnie, Christine, Sylvia, Tanya

Age: 2, 3, 4, 6, 8

Wood: Birch, Cherry, Mahogany, Maple, Oak

Melody: "The Big Rock Candy Mountain," "Rock-A-Bye Baby," "Rock-A My Soul," "Rock Me Gently," "Rock of Ages"

1. The oak chair was made for a girl who is exactly twice as old as Amanda (who isn't four years old). Sylvia isn't the intended recipient of the oak chair. The birch chair wasn't built for the eight-year-old (who isn't Christine).

2. The mahogany rocker will be given to the child who is exactly twice as old as Bonnie, but younger than the at least one other child. The six-year-old isn't the intended recipient of the chair that plays "Rock Me Gently".

3. The music box that plays "Rock-A My Soul" is attached to the chair made for the grandchild who is exactly twice as old as Sylvia. Bonnie is exactly half as old as the intended recipient of the chair whose music box plays "Rock-A-Bye Baby".

4. The chair that has the music box that plays "Rock of Ages" will be presented to the three-year-old, while the two-year-old is getting the cherry-wood chair.