Note - they cannot guarantee cross contact, per below and they do not have a FAQ page
From: Tom's of Maine Citizens' Advocacy Team
Subject: In response to your Tom's of Maine Inquiry #075893644A
Thank you for contacting us. We appreciate your feedback and your interest in Tom’s of Maine Natural Products.
We are pleased to tell you all of our Tom's of Maine products, including our Children's Silly Strawberry Fluoride Toothpaste, are free of nuts and peanuts. However, many of the ingredients we use in our products (glycerin, sodium lauryl sulfate, sodium stearate) can be derived from coconut and many people consider the coconut a tree nut.
To see a complete ingredient listing for every product we make, you can visit our website www.tomsofmaine.com. You can even click on each ingredient to pull up additional information about the sources of the ingredients we use.
Although we obtain our ingredients from reliable and trusted suppliers who maintain our high standards for safety, quality, and efficacy, we cannot guarantee that the ingredients used have not come in contact with any nuts.
We hope this information is helpful to you. If you have any other questions or comments, please feel free to contact us again.
Nicole S Lang