trace
To find where something came from by following clues.
Trace means to follow something back to where it came from, like following footprints in snow back to whoever made them. When detectives trace a ransom note to its author, they're finding clues that lead them to the source. Scientists might trace a disease outbreak to a contaminated water supply by carefully tracking where each sick person had been.
The word also means to copy something by drawing over it. When you place thin paper over a picture and draw along its lines, you're tracing it. Artists sometimes trace basic shapes to get proportions right before adding their own details.
A trace can also be a tiny amount of something that remains. After you erase a pencil mark, there might still be a faint trace of it on the paper. When police find traces of mud at a crime scene, they're finding small amounts left behind. If someone vanishes without a trace, they've disappeared so completely that nothing remains to show where they went.
The connecting idea is following or finding something small but significant: whether you're tracing your family tree back through generations, tracing a drawing, or finding traces of evidence, you're carefully following details to discover something important.