Is this Cucurbita moschata 'Tromboncino' or Cucurbita moschata 'Trompo d'Albenga'? The more I researched the name, the more confused I became.
The seeds for this plant growing in the UBC Food Garden were purchased under the name 'Tromboncino' squash. My first search for more information led me to this plant review page on the Dave's Garden site, where 'Tromboncino' is listed as an alternate name for the preferred 'Trompo d'Albenga'. The Kokopelli Seed Foundation repeats this assertion in its photo gallery of squash cultivars. However, things start to get muddied in the Kemper Center for Home Gardening photo gallery of 100+ squash cultivars – the name 'Tromboncino' is used; perhaps they didn't research the name to verify it? Or perhaps they did: the Master Gardeners of Santa Clara County Online have a photo gallery of the squashes growing in McClellan Ranch in 2003, and 'Tromboncino' and 'Trompo d'Albenga' are distinguished as separate cultivars!
My final step for an easy answer was to consult whatever squash cultivar databases I could find online, and I came up empty. This comprehensive listing of squash cultivars excludes both names, unfortunately.
For general information on squashes, Purdue University's New Crop Guide has an extensive factsheet on cucurbits.