The former X Factor star told Twitter followers she'd been subjected to abuse during an evening out with girlfriends in the city.
"Never seen women behave so low down and classless," she tweeted. "Being called racist names and having drinks thrown over me in my home town."
She continued: "I am absolutely disgusted, however I know how much love I have in my city and won't let a few racist, low down, classless people put me off."
"Enjoying what is a lovely place filled with lovely people shame on you!"
Rebecca had earlier told fans she was off to enjoy a night with the girls, but admitted she'd rather be at home with her baby daughter Arabella.
"Missing my angel already," she tweeted at the start of her night. "I love the girls, I love a night out but prefer being home with my baby."
Rebecca, 28, gave birth to daughter Araballa in November. She's also mum to children Lilly and Karl from a previous relationship.
The singer found fame on the seventh series of X Factor, finishing runner-up to Matt Cardle. She's since found criticial success with albums Heaven and Freedom.