Currently the oldest such connection within California is 5,300 years (ancient skeleton to living lineal descendant).
There is an even older connection (10,300 years) between a southern Alaskan skeleton and living descendants stretching from southern California to the tip of South America.
Both of these seem to be associated with one or more early coastal migrations.
Here:
Oldest Human DNA in the Americas
Teeth from an Alaskan Cave Provide Clues to Ancient Migration Patterns (On-Your-Knees-Cave)