Children sponsoring parents for green card

[murali_ks]

I am US Citizen (from March 2001) and so are my Daughter ( Citizen from Jan 2004) in Chicago and Son Citizen from Aug 2003) in San Francisco. All of us are naturalized citizens, having emigrated from India. My son and daughter working comfortably in USA. I worked for few years in USA and now I get Social Security Pension Benefit

My wife – Indian Citizen- also had Green Card. But she could not settle down in US and had to make yearly trips to US to keep the Green Card alive. However, due to reasons attributed to her family, she surrendered her expired Green Card (expired in 2004) in US Consulate in Hyderabad (India) in April 2009 and immediately obtained a 10 Year Visit Visa to USA. From then on, she is visiting USA on her Visit Visa

I will be settling down in Chicago (suburb) with Senior Assisted Living and would like my wife to get her Green Card again so that we could stay near our children in USA.
Is it possible to petition for her Green Card? Can I (with less than $20K annual income plus savings of $40K) apply for her? Or should my children apply for her? Which is a better option ? I can get some financial assistance about $12K every year from my children for our living. Since my wife had already surrendered her Green Card in 2009, will this be a factor for rejecting her application now?
If she visits US on Visit visa and thereafter if I or my children petition for her Green Card, can my wife stay back in US with her visit visa, pending the application ? Will there be problems on this account.
What are the forms required for submission for petitioning for her Green Card afresh?

Please advice

[manojl]

Go ahead , I don't see any problem

I am a citizen. I recently sponsored my mother. She was overstayed visitor visa. Yet no issue. I think you bring here here and then apply for GC.