"Yes, it was bad judgment on my part to even act like I gave him alcohol, but I swear there was none in the cap."
Writing on Facebook earlier, the mum reportedly wrote: "I didn't know I was being videoed, but even so what's the difference in giving your child cough syrup or rinsing their pacifier off with the beer you're drinking."
The mum has now lost custody of her child.
Payne County Sheriff Kevin Woodward said a criminal investigation was under way.