Acid Bubbles to the rescue!
The short answer (can't do screenshots now though, let me know if a part is unclear and expect the wording to be incorrect!)
1. Add a UIButton (the "+" sign in the main menu, Triggers, UIButton, Create)
2. Open the UIButton panel (click, then wrench icon) and go to the Triggers tab
3. Add trigger, and add an action (in the "start" tab, should be there by default)
4. Choose the atom that has Timeline (e.g. Person#1), in storable choose Timeline (you can search, it'll be something like plugin#0_VamTimeline.AtomPlugin)
5. In the Param (third drop down) chose "Play THE_ANIM_YOU_WANNA_PLAY"
Let me know if that helped!