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
Two orphaned sisters separated in South Korea have been reunited after being hired at the same hospital in Florida.
Piers Morgan is to become a permanent host of Good Morning Britain alongside Susanna Reid, ITV has confirmed.
An Australian grandfather has been hailed for his "fantastic survival skills" after keeping himself alive in the bush by eating ants.