The tree itself has a light wobble to it. If you look into the base in the pic, the wire for the bottle brush tree in inserted into a piece of styrofoam inside the drum.
It has "widened" the styrofoam opening a bit, causing the wobble. It needs to be "filled". I would use glue or epoxy.
This can easily be done before you replace the base. The music box plays, and when it does the tree rotates. I have been dealing in vintage Christmas for over 20 years, and this is the first time I have ever seen this great tree. If you collect, don't miss this chance because you may never get another chance to own an example of this rare beauty. Thanks for looking, and have a great day! The item "Vtg Bottle Brush Musical Rotating Christmas Tree Knee Hugger Pixie Elf Topper" is in sale since Thursday, July 5, 2018.This item is in the category "Collectibles\Holiday & Seasonal\Christmas\ Modern (1946-90)\Figures\Elves". The seller is "marketstreetwestantiques" and is located in Meshoppen, Pennsylvania. This item can be shipped to United States, Canada, United Kingdom, Denmark, Romania, Slovakia, Bulgaria, Czech republic, Finland, Hungary, Latvia, Lithuania, Malta, Estonia, Australia, Greece, Portugal, Cyprus, Slovenia, Japan, China, Sweden, South Korea, Indonesia, Taiwan, Thailand, Belgium, France, Hong Kong, Ireland, Netherlands, Poland, Spain, Italy, Germany, Austria, Israel, Mexico, New Zealand, Philippines, Singapore, Switzerland, Norway, Saudi arabia, Ukraine, United arab emirates, Qatar, Kuwait, Bahrain, Croatia, Malaysia, Chile, Colombia, Costa rica, Dominican republic, Panama, Trinidad and tobago, Guatemala, El salvador, Honduras, Jamaica, Antigua and barbuda, Aruba, Belize, Dominica, Grenada, Saint kitts and nevis, Saint lucia, Montserrat, Turks and caicos islands, Barbados, Bangladesh, Bermuda, Brunei darussalam, Bolivia, Ecuador, Egypt, French guiana, Guernsey, Gibraltar, Guadeloupe, Iceland, Jersey, Jordan, Cambodia, Cayman islands, Liechtenstein, Sri lanka, Luxembourg, Monaco, Macao, Martinique, Maldives, Nicaragua, Oman, Pakistan, Paraguay, Reunion.