Any problem to apply GC , when visitor overstayed

[rajadiraja]

My mother is now in USA, for the third time. We applied for visitor visa extension and it got denied. So now she will be overstaying for about 2 months since the original i-94 stamp and about a month after the actual i-539 denial arrived.

Now I know that the 10 visa stamp on her passport is void and she has overstayed about a month after the actual extension denial arrived. This overstay is to find travel companions and confirmed airtickets etc.

Now my question is .. after I get Citizenship is there any legal or well-known problem, to apply for GC for my mother.

Any help on this issue is appreciated.