Victoria Mulholland, 26, became 'increasingly intoxicated' as she downed five pints of lager with her baby in a pram beside her.
Shocked bar staff were so concerned about her irresponsible behaviour they refused to serve her any more alcohol and called police.
Mother-of-two Mulholland was so drunk she told police she could not remember what had happened.
She admitted at Lincoln Magistrates' Court to being drunk in charge of a child under the age of seven.
Prosecutor Daniel Paulson said Mulholland wheeled her baby in a pram into the Green Dragon pub, in Lincoln.
He explained that five hours later, 'Police attended and she was arrested. In interview she said she couldn't recall the incident because she was intoxicated.'
The court heard her baby has been taken away and is being cared for elsewhere.
Sunil Khanna, defending, told magistrates Mulholland had been in hospital due to 'complications' following the birth.
She said: "This was the first opportunity she had to go out and meet her friend. The plan was to only have one drink, but she admits she drank more than she planned to.
"She had about five pints of lager and got drunk very quickly. She accepts her behaviour was totally and utterly disgraceful.
"She has had a drink problem for many years, but is trying to reduce her alcohol intake.
She knows the quicker she does that the quicker she will ensure the safe return of her child.
"This is hopefully an isolated incident, which will not be repeated as she wants to have full custody of her child.'
Victoria Mulholland was sentenced to a 12-month community order with a 12-month supervision requirement.
For help and information with alcohol problems, click here.
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