Agree. More is too often used to display 'more options', which is what I thought this was going to be. I tailgated on your Snapshot and "Time Capsule" suggestions (which I liked) to try to find other one word alternatives. Came up with the following:
cache, record, timecard, log, chronicle, registry, diary, chronology, timeline, calendar, register, log and archive.
I'm partial to snapshot, archive and timeline - as one word substitutes.
Really cool concept in my opinion; no matter what the name is.