According to Oklahoma culture blog The Lost Ogle, Coyne, who is a friend of Christina Fallin's, posted the following:
Yes, that's a dog wearing a feather headdress.
This isn't Fallin's responsibility directly, but she hasn't denounced or criticized the photo posted on her behalf. Her silence implies an endorsement of Coyne's actions.
How the Flaming Lips Lost a Drummer Over Native American Appropriation
By Jordan Sargent
On March 22, the Flaming Lips played a show without Kliph Scurlock, who had drummed with the psych-rockers since 2002. On April 2, a commenter on the indie rock blog Brooklyn Vegan wrote that legendary frontman Wayne Coyne had fired Scurlock from the band, and that Fallin's headdress stunt was to blame:
By Red Dirt Report
For more on Christina Fallin, see Christina Fallin Calls Natives "Sheep" and Oklahoma Governor's Daughter in a Headdress.
Below: Gov. Fallin suddenly realizes her daughter might be doing something wrong.