The artwork depicts a candelabra which is a common symbol on womens' gravestones. It signifies the lighting of Shabbat candles which is a special mitzvah for a woman and also seems to connote motherhood (I am guessing here but maybe as she is the light to her family, or based on the Talmud that connects lighting Shabbat candles to meriting upright children). The candelabra is flanked by
the letters of an acronym meaning "here is buried". The acronym at the bottom means "May her soul be bound in the bonds of (everlasting) life".
The first line says "A beloved mother from an upright (important) lineage."
So to answer your question, yes, it is clear that she was a mother despite dying young. I would not have concluded that from the artwork alone but the inscription settles it.
Just to make sure you are not misunderstanding the name, it doesn't list a maiden surname (resembling Peshevar), rather it is her full name and father's name. Sarah Pesha bat Reb (abbreviation) Yaakov Moshe. I wonder what her middle name in English was with the initial H and if it had any connection to Pesha.