Referred to as Jacksonville and the Fountain of Ain Jelud in the Daily Alta California letter 43 . Jezreel is also referred to as Logansport. Apparently Jezreel and Ain Jelud are two different locations. Jezreel (Logansport) is on a hill and Jacksonville is in the valley.

Zeŕin. — History. Zeŕin is the ancient Jezreel, a town of Issachar.  Close by was the scene of the great battle fought by Saul against the Philistines. The Israelites were posted around Jezreel (1 Sam. xxix. 1), while the Philistines were encamped at Shunem (p. 278). Saul himself fell here, whence David in his lament says 'Ye mountains of Gilboa, let there be no dew, neither let there be rain upon you' (2 Sam. i. 21).  After Saul's death Jezreel remained for a time in possession of his son Ishbosheth (2 Sam. ii. 8, 9). It was afterwards the residence of King Ahab and Jezebel (1 Kings xviii. 45, 46). On the vine-clad hill lay the vineyard of Naboth (1 Kings xxi. 1), where Joram, Ahab's second son, was afterwards slain by Jehu (2 Kings ix). In the book of Judith Jezreel is called Esdraelon or Esdrelom. In the time of the Crusaders it is mentioned as Parvum Gerinum.

Zeŕin is situated on a N.W. spur of the Gilboa mountains.  Here we stand on the watershed; the hill, partly artificial, gradually slopes down on almost every side. There are ancient wine presses on the E. and S.E. slopes. We look down into the valley of Zeŕin, which descends to Beisân (p. 258), and in which lies the 'Ain Jâlûd, or spring of Goliath (p. 258); below us is the Tell of Beisân, above which rise the mountains to the E. of Jordan (Jebel 'Ajlûn). To the W. extends the plain of Jezreel as far as Mt.Carmel.  To the N., through an opening in the hills, is seen Nazareth.

Bædeker (1898) Route 27 page 277

'Ain Jalûd, the Fountain of Jezreel, known also as Gideon's Fountain. It flows from a cavernous recess in the base of Jebel Fukû'a (Mount Gilboa), and spreads out at once into a fine limpid pool forty or fifty feet in diameter.

Wikipedia

Murray Route 22 page 353

JEZREEL, now called Zer'in, is situated on the crest of a low spur which projects some distance into the plain from Gilboa, It is only a few ft. higher than the country we have crossed, but immediately on its N. side there is a descent of nearly 100 ft. into the central arm of the plain—the “Valley of Jezreel.”’ The panorama here around us is wide and rich: the hills of Samaria on the S., Carmel on the W., the hills of Galilee, which imprison Nazareth, on the N.W.; the bleak ridge of Duhy, crowned by its white wely, on the N., shutting out Tabor; and we can look down the green valley eastward, past a conical tell—the acropolis of the ancient Bethshean or Scythopolis,—almost to the bed of the Jordan, beyond which rise up the mountains of Gilead. The modern village is composed of about 20 wretched houses, apparently fast falling to ruin. The only sightly building is a square tower of some antiquity, now used as a Medâfeh, or “Inn,” where travellers are treated to bare walls, fleas ad libitum, and a supper at the public expense. Round the village are heaps of rubbish, and many artificial caves, serving as grain stores. There are also several sarcophagi, some with sculptured ornaments, on the S. of the houses. Yet this is the royal Jezreel, where Ahab built his palace, and three successive monarchs reigned; the scene, too, of some of the bloodiest tragedies in sacred history. ...

After the fall of the house of Ahab Jezreel seems to have gradually declined. In the early centuries of our era it was still a large village; but the name had taken the Greek form Esdraela, which was extended to the whole plain. Under Arab rule the Semitic form revived in Zer’in.