1. Is there a headless horseman mentioned in the Bible, maybe in Revelations?
2. Where is information of the rapture in the Bible?
There is not a headless horseman (I think that was Ichabod Crane) but there are horsemen in revelations (see Rev chapter 6)
Second, here is the main set of verses (there are a few others) dealing with the “rapture”
1 Thess 4
13 But I would not have you to be ignorant, brethren, concerning them which are asleep, that ye sorrow not, even as others which have no hope.
14 For if we believe that Jesus died and rose again, even so them also which sleep in Jesus will God bring with him.
15 For this we say unto you by the word of the Lord, that we which are alive and remain unto the coming of the Lord shall not prevent them which are asleep.
16 For the Lord himself shall descend from heaven with a shout, with the voice of the archangel, and with the trump of God: and the dead in Christ shall rise first:
17 Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord.
18 Wherefore comfort one another with these words.