If a feminine name begins with M- or MB-, one can add the suffix -ín. In this case, this produces the diminutive Máirín.
Alternatively, diminutive names in Irish Gaelic can end in -ín and -eog, with the latter typically being used in pet forms of the name. Thus, Máire (the Irish form of Mary) also has Máirín and Máireog as diminutives.