demi moore is supporting rumer willis following her split from jayson blair the 25yearold actress who recently broke up with her the new normal star boyfriend 29 after 17months of dating has been spending lots of time with her mother to get over her heartbreak a source told peoplecom that the budding singer put on a brave face to perform her weekly slot at sayers club in hollywood on tuesday night 051113 and a refreshed and vibrant demi 50 was on hand to show her some love the insider said rumer seemed really happy that her mother had come out to support her right after she got off stage the two had a really sweet motherdaughter moment an eyewitness also said demi clapped and whistled enthusiastically after each song her daughter sang including a cover of miley cyrus hit wrecking ball the mother and daughter later took to the dance floor together before leaving with friends a source previously claimed that rumer and jaysons relationship was getting serious after he joined her and her family including her father bruce willis and his wife emma hemming at her sister scouts graduation from brown university in may