My Mom is about to enter into a nursing home. If I sign her in will I be responsible for her NH debt?

Thank you

Yes you will, unless you sign "POA" or "Guardian"(court order) or "next of kin"(UK) after your name. ALWAYS add that on EVERYTHING you sign, even if they tell you "oh you don't need to do that". ALWAYS. Get copies of EVERYTHING you sign and keep them at home. ALWAYS.