Alanis Morisette sang "Offer" which is off of her album "Feast On Scraps", which came out in 2003, not 1964.
Roxanne: It's all about the hair.
Songs w/Artists (in tonight's episode)
* Wooly Bully - Sam the Sham & the Pharaohs - 2-6/05/65
* Grim Reaper of Love - The Turtles - 81-6/25/66
* She's About A Mover - Sir Douglas Quintet - 13-5/29/65
* I'm Henry VIII, I Am - Herman's Hermits - 1-8/07/65
* Offer - Alanis Morissette - [live]
* I Got You Babe - Sonny & Cher - 1-8/14/65
* Got To Get You Off My Mind - Solomon Burke - 22-5/01/65
* Paint It, Black - The Rolling Stones - 1-6/11/66
Timeframe: Late November 1965