Hiking to Gilbert lake in Onion valley

Onion valley located near Independence, CA and looks quite interesting from the air. I flew several times over it and now decide to hike there with family. We camp in Alabama hills:

and drove to trailhead in the morning. Trail going through Pine trees, so its not too hot even in the middle of the day. We made it only to second (Gilbert) lake:

but with enough time Kearsarge Pass is doable even with a small kid, OK, maybe next year.