I’m trying to identify the hallmarks and also find the maker to this ladies silver cigarette case
The hallmark is Chester, 1919 and CC is Colen Hewer Cheshire, a Birmingham silversmith. Birmingham silversmiths often also registered their marks at Chester as Chester were often able to offer them a better service, being less busy than Birmingham.
I second Phil’s assessment. You can confirm his findings at https://www.925-1000.com/dlChester.html#M.