The 2-month-old corgi and border collie mix was named Colusa "Lucy" Brown.
The governor's other dog, named Sutter Brown, will retain the title of First Dog.
Colusa was appointed Deputy First Dog and even has her own Twitter page.
Reading all those tweets is exhausting! pic.twitter.com/C4FCx9P4Df— Colusa Lucy Brown (@ColusaBrown) May 15, 2015
Taking a rest partway through a hike. My legs are little, but my ears are already casting quite a shadow! pic.twitter.com/MgXIlq8hID— Colusa Lucy Brown (@ColusaBrown) May 17, 2015