Thank you so much for such a quick reply.I really appreciate your kindly help.
For my Q1, you said "The RP can allow her to stay in US for < two years."
Does RP has 2 years limit on it, but it is for stay outside of US?
-There is a expiration date on the RP and you just need to retur to US before the RP expires.
Does my mom need to stay in US for more than a year to be eligible to apply for another RP?
-No such requirements.
what is the better interval for RP appications?
-It is better not to apply for the RP too often unless you have very strong reason to justify it. Otherwise, USCIS may not approve your RP applicaiton again and again.
I just don;t want to trigger any attentions on her GC status. She doesn;t care citizenship that much.