I've just checked my Playford. ("The Complete Country Dance Tunes from the Dancing Master" Ed. Jeremy Barlow) Jeremy Barlow has gathered together all the tunes that appeared in the 18 Editions of the Dancing Master and there is no Bear Dance in the index.

Playford published a wide range of music books through much of the 2nd half of the 17th. Century, so maybe there is a version in one of his other publications.