In the initial announcennment I saw it was called Bodley Ballads. The title on the website is Bodleian Library Broadside Ballads. Mike Heaney, in several emails I've saved, calls it Bodleian Ballads Online. [bodley rather than bodleian is in the email address] Call it what you like.
I've only been on the top floor of the Bodleian Library (named after Bodley), Duke Humphrey's Library, where the manuscripts are kept, and went through MS Ashmole (not Ashmoleian) 36/37 (two bound together) and MS Ashmole 38.