Translations
searching to find out what time or circumstance the Spirit of Christ within them was indicating, as He predicted the sufferings of the Messiah and the glories that would follow.
searching to discover what person or what kind of season the Spirit of the Messiah within them was pointing to, as He testified in advance to the sufferings of the Messiah and the glories that would follow.
Searching what, or what manner of time the Spirit of Christ which was in them did signify, when it testified beforehand the sufferings of Christ, and the glory that should follow.
trying to determine the time and setting to which the Spirit of Christ in them was pointing when He predicted the sufferings of Christ and the glories to follow.

