From Ptolemaios (Ptolemy, after whom it was named); Ptolemais, a place in Palestine -- Ptolemais.
Thayer's Greek Lexicon
Strong's 4424: Πτολεμαΐς
Πτολεμαΐς, Πτολεμιδος, ἡ, Ptolemais, a maritime city of Phoenicia, which got its name, apparently, from Ptolemy Lathyrus (who captured it , and rebuilt it more beautifully (cf. Josephus, Antiquities 13, 12, 2f)); it is called in Judges 1:31 and in the Talmud עַכּו, in the Sept. Ακχω, by the Greeks Ἄκη (on the varying accent cf. Pape, Eigennam. under the word Πτολεμαΐς), and Romans Ace, and by modern Europeans (Acre or) St. Jean d' Acre (from a church erected there in the middle ages to St. John); it is now under Turkish rule and contains about 8000 inhabitants (cf. Baedeker, Palestine and Syria, English edition, p. 356): Acts 21:7. (Often mentioned in the books of the Maccabees and by Josephus under the name of Πτολεμαΐς, cf. especially b. j. 2, 10, 2f; (see Reland, Palaest., p. 534ff; Ritter, Palestine, English translation, iv., p. 361ff).)
Acts 21:7 - N-AFS GRK:κατηντήσαμεν εἰς Πτολεμαΐδα καὶ ἀσπασάμενοι NAS: we arrived at Ptolemais, and after greeting KJV: we came to Ptolemais, and saluted INT: arrived at Ptolemais and having greeted