Bing was indeed born in Tacoma, but raised in Spokane.
Now this story is from my mother who attended North Central High School in Spokane and Bing and brother Bob were fellow NC students at that time.
Bing, for some reason unknown to me, was expelled from NC and enrolled in Gonzaga Prep HS where the Jesuit priests got him under control.
Brother Bob Crosby was on the NC stage crew as was I many years later. As was the custom for stage crew members, we would find a spot up in the "fly" and paint our names on the wall - out of sight except for stage crew types. Bob's name along with his crew was there.
Bing and Bob went into the music industry/movies, but Bing always remembered his roots. He endowed Gonzaga University with the funds to build a library which bears his name on the Gonzaga campus.
Bing also owned a summer home on the shores of nearby Hayden Lake in Northern Idaho that the family would visit often.
And Spokane just named a theatre after him. His family left T-town for Spokesvegas when he was three. But I'm gonna see what I can do to get a statue of him put in Tacoma.