Easton's Bible Dictionary (1897)
Increasing, a female Christian at Colosse (Philemon 1:2), supposed by some to have been the wife of Philemon.
Smith's Bible Dictionary (1863)
(fruitful) a Christian woman addressed jointly with Philemon and Archippus in Phil. 2; apparently a member of Philemon’s household, and not improbably his wife. (A.D. 57)
Hastings' Dictionary of the Bible (1898) & Schaff's Bible Dictionary
AP'PHIA, a Christian woman addressed by Paul in Phile 2. From the connection in which she stands, preceding a masculine name and linked so closely to Philemon, it has been reasonably conjectured that she was Philemon's wife.
Hitchcock's Bible Names (1869)
productive; fruitful