Of the earth; land
Terrina is likely a modern elaboration of the Latin root 'terra', meaning earth or land. It may also be interpreted as a feminine variant of Terence or a creative blend of names like Theresa and Katrina.
Less common today
Terrina isn't in the latest US Top 1000. It last peaked at #8,698 in 1990.
US births per 5-year period, 1990βpresent (SSA data).