French: from the Late Latin name Renata, feminine of Renatus ‘reborn’, used by early Christians as a baptismal name celebrating spiritual rebirth in Christ. The name is also used in the English-speaking world, often without the accent and in a highly Anglicized pronunciation (compare Reenie).
English: habitational name from a place called Farrington. There is one in Somerset, but the surname is associated mainly with Farington, Lancashire. Both are named from Old English fearn ‘fern’ + tūn ‘settlement’. The surname probably reached America also via Ireland, where it is recorded as early as the 14th century.