It would be impossible to know, the origins of place names is very random.
Without the panhandle dispute that whole area will be different having avoided the need for overlapping development and many of the towns/cities there that spring up will vary in value. Without the government capital Juneau will likely be much smaller and wherever Britain sticks the capital will be bigger (Sitka?).
I mean, it's very possible they might just name the place after whoever instigated the purchase/conquest of the region. Douglasville?