What I've been wondering recently, with all the personnel changes over the years - and with reference to this thread's subject line - is who came up with the band's name?
According to Chris Bourke's book (page 79)
"They even went to the local library to find a solution [the name]. Looking through books at random, Neil came across a phase which was suitable for the album's title. It seemed to reflect the lifestyle they'd been leading: Crowded House...."
So it appears the band's name was Neil's idea.