The pointed mask has OB painted on it, about halfway up and some people will tell you that stands for O B (Obby) oss.
However, there is a family of Brentons in Padstow, who had seafaring sons 150 - 200 years ago and it's possible that Octavious Brenton brought it back from his travels. It actually looks similar to masks used in places like Africa or some Pacific islands, but nobody knows for sure. For awhile there was a similar mask used by the 'teaser' but that didn't have a high pointy top.
The Minehead horse is similar but not as streamlined as the modern Padstow oss, more like the ones in the photos dated around 1900.
Oss Oss!
Robyn