We've gotten more than enough information to know that it was no coincidence at all. Pandora engineered the entire situation.
Pandora catches Magus after he falls into the main EGS world and convinces Magus that he has to follow her instructions in order to regain a physical body.
Under her instructions, Magus influences Tedd into zapping Elliott with the TF gun, which causes them to visit the Dewitchery Diamond. The act creates Ellen and simultaneously awakens Abraham, who immediately sets out to find and kill Ellen.
When Abraham eventually does find Ellen, she is defended by both Adrian and Nanase. Pandora intervenes to aid the latter, knowing Nanase will exhaust everything in the effort.
When Mr. Verres arrives after the fact, he is furious at Abraham, but just barely not enough to kill him in cold blood. Pandora attempts to use Magus to change that - completing her quest for vengeance - but Magus refuses.
Pandora even admits to Adrian, after the fact, that she "couldn't get anyone to kill the kidnapper", implying it was one of the primary objectives of the entire exercise.