Tigrinya

-a - her (genitive and accusative pronominal suffix, 3 fem. sg.) (Bulakh–Kogan 2013b:101)

-ˀa with verbal forms ending in *-ā (the glottal stop is of secondary nature, see Bulakh–Kogan 2013b:105).

PS
*-šā̆ - her (genitive and accusative pronominal suffix, 3 fem. sg.) (Kogan 2009:69)
The shift *š- > h is distributed between languages the same way as in the realm of independent pronouns of the 3rd person.