It would appear to me that Anna Purcell, the mother of Margaret (Higgins) Sanger, is a different Anna Purcell than Deegan-160.
In the 1880 census (as listed on Margareet Sanger's profile) Margaret was living with her parents Michael (age 34) and Anna Higgins (age 32) in Corning, NY. According to the same census (as listed on Deegan-160), that Anna Purcell (age 23) was living with husband Tobias Purcell (age 33) in Corning, NY.