Carole King was recording “Tapestry” this week in 1971. Joni Mitchell was doing “Blue” in the room next door...

...according the Tumblr of David Hepworth's forthcoming book http://1971neveradullmoment.tumblr.com/

Here's a photo from the day Mitchell and James Taylor did the backing vocals for “Will You Still Love Me Tomorrow” at A&M Studios in Hollywood: