Sorry, the bible your friend used is incorrect.
Matthew 19:13
¶Then were there brought unto him little children, that he should put his hands on them, and pray: and the disciples rebuked them.
14 But Jesus said, Suffer little children, and forbid them not, to come unto me: for of such is the kingdom of heaven.
15 And he laid his hands on them, and departed thence.
Notice there is no mention of baptism, and infants are not mentioned, but little children.
Joseph was called a little child when he was 16, Solomon called him self a liitle child when he took the throne.
So little children does not mean infants.
She OBVIOUSLY didn't use Your Preferred Version.
Uh...the pasage used by Jaded comes from Luke 18:15-17, where the word "infants" is used. Try reading from the verse cited, rather than the parallel text in Matthew 19.