An excessive analyis of this photo of The Electric Mayhem
Dr. Teeth: Sits on the highest branch, but closest to the trunk. This showcases his position as leader of the group & head of the family, as well as some slight degree of vulnerability (be it to physical unsteadiness or a fear of heights).
Animal: Positioned a little ways back, but between all of the original band members, showing he is at the center of their attentions, which is appropriate given as they view him as their collective son.
Floyd: Sits a fair ways out on his branch (with a place to support his damaged leg, as well as serve as an assist when climbing up or down). His position could indicate a desire to be seen as a loner rebel, but his actions betray a softer nature. He sits closest to Animal since he would have the best chance of handling any problems that he may cause, actively keeps an eye on spaced-out Zoot to make sure he doesn't fall, and sits on the same level and at such an angle that he's able to look over at Janice (who he is in a romantic relationship with)
Janice: Sits on the same level of tree as her partner Floyd, but on a branch closer to others and to birds and flowers, highlighting her love of nature. She is also sitting in a position where she is most easily able to enage with the other band members during the performance, showing her loving connections to them all.
Zoot: Sits on the lowest branch of the tree at an odd angle to remain in physical contact with the tree. This could indicate he is nervous about falling off the branch (possibly due to visual impairment). While his branch is a bit closer to the ground, he is still on the same level of the tree as Lips (something we saw above with the canonical couple of the group)
Lips: Sits furthest from most of the other band members, save for Janice, to whom he may be related. He is the newest band member and may not yet feel fully assimilated into the group, but subtly indicates he does wish to be, as indicated by sitting on the same side of the tree as the leader of the band, directly next to the lead singer of this performance, and across from the musician with whom he has the most in common with :)