My eyes overflowed with tears.

Literal

Eye [subject-が] tears [with-で] overflowed.

泪 is an older/variant kanji for the usual 涙 ('tears'); both are read なみだ. The で here is instrumental — the medium filling the eyes — so the literal shape is 'eye overflowed with tears,' not 'tears overflowed from the eye.' 溢れる takes the container, not the contents, as its subject.