She can only claim your mother as a dependent if she is paying more than 50% of all household needs to live in that home, in every regard, which may be hard to do if your mother owns that home and has sufficient means to pay her own way.
If your mom's only income is Social Security, and your sister is providing over half her support, then your sister may be able to file as head of household and claim your mom as a qualifying relative dependent. She would get the $500 credit for other dependents.
Am I Head of Household?
https://ttlc.intuit.com/questions/1894553-do-i-qualify-for-head-of-household
https://ttlc.intuit.com/questions/2900097-what-is-a-qualifying-person-for-head-of-household
If you qualify as Head of Household, when you enter your marital status (single or married filing separately) into MyInfo, and then enter your qualifying dependent, TurboTax will offer HOH as your filing status.
IRS interview to help determine who can be claimed:
https://www.irs.gov/help/ita/who-can-i-claim-as-a-dependent
https://ttlc.intuit.com/questions/3113432-who-can-i-claim-as-my-dependent
Thank you. If my sister does claim my mom as a dependent does my mom still need to file taxes on her SS earnings?