The images were posted by Dean Liddle at 1.42am and removed less than an hour later, after questions were raised that they may have got the wrong people. The Twitter profile of Liddle had 915 followers.
The conversation that followed on the social network site said that it might be Venables and Liddle responds: "I was passed these by a friend if there is doubt about it being him I will remove."
He had earlier said in response to suggestion that child killers should be locked up for life: "I don't think that all child killers should be but after release he was arrested for child porn so agree here."
More top news
Storm Imogen will cause problems across much of the south today, but it will be calmer in the north.
David Cameron is expected to warn that voting for a "Brexit" would result in refugee camps springing up across the south-east of England.
Beyonce, Coldplay and Bruno Mars performed a medley of their hits during a powerful half-time performance at Super Bowl 50.