US visas are not given in the US. R visas are not easy to obtain, as there is a significant history of fraud.
You don't need to "invite" her to use her B visa. Nor is there any type of sponsorship from you or any 'sponsoring organization.'
She can visit the US, but she cannot adjust status while here. Just do the right thing and petition her for a sibling visa, which is the only legal path she has.
Also- is there a reason why you posted this in the Waiver/601 section?