Index: items.py
==================================================================
--- items.py
+++ items.py
@@ -63,11 +63,12 @@
 
     # A JSON wrap-up of our content
     def for_json(self):
 	items = []
 	res = {"name": self.name, "items": items, "gen": self.gen}
-	for i in sorted(self.items.itervalues(), key=lambda _i: _i.name):
+	for i in sorted(self.items.itervalues(),
+		key=lambda _i: _i.name.lower()):
 	    # Don't share deleted
 	    if i.deleted():
 		continue
 	    items.append(i.for_json())
 	return res

Index: js/shopr.js
==================================================================
--- js/shopr.js
+++ js/shopr.js
@@ -25,10 +25,13 @@
 const cur_idxs = new Set([0, 1, 2]);
 
 // Map from the Element ID to its Item ID in the DB
 const iids = {};
 
+// When itname is naming an item to edit, this is its Item ID
+var itname_iid = null;
+
 //
 // These toggle the filtering based on color
 //
 // Each toggles between darker version of color (showing it)
 //  and its lighter counterpart.
@@ -160,10 +163,11 @@
 function hold_item(e) {
     if (!e.id.startsWith("item")) {
 	return false;
     }
     itname.value = e.innerText;
+    itname_iid = iids[e.id];
     setcur(scritem);
 }
 
 // Click an item, probably switch the index of the item
 function click_item(e) {
@@ -318,11 +322,13 @@
 	    oidx += 1;
 	    continue;
 	}
 
 	// Inserted cell?
-	if (i1.name < i2.name) {
+	// (Our server orders case insenstive, so to track their order
+	//  we need to honor that here.)
+	if (i1.name.toLowerCase() < i2.name.toLowerCase()) {
 	    e2.style.background = "green";
 	    changed = true;
 	    nidx += 1;
 	    continue;
 	}
@@ -477,10 +483,34 @@
     // Requesting URL, including authentication
     req.open("POST", url);
     const op = {"op": "add", "name": ifv};
     req.send(JSON.stringify(op));
 }
+
+// Do a PUT op with authentication to our current list
+function xhr_put(msg, fn) {
+    // Construct URL; our list, authen
+    const url = "/l/" + encodeURIComponent(cur_list) +
+	".json" + authURL;
+
+    // PUT w. authen, op == "delete this iid"
+    const req = new XMLHttpRequest();
+    req.open("PUT", url);
+
+    // Optional callback
+    if (fn != null) {
+	req.onreadystatechange = () => {
+	    if (req.readyState != 4) {
+		return;
+	    }
+
+	    fn(req.status, req.responseText);
+	    return;
+	}
+    }
+    req.send(JSON.stringify(msg));
+}
 
 // Remove an item
 //
 // It's the one which was long held to get this menu
 function del_iname() {
@@ -494,23 +524,34 @@
     if (iid == null) {
 	// WTF?
 	return;
     }
 
-    // Construct URL; our list, authen
-    let url = "/l/" + encodeURIComponent(cur_list) +
-	".json" + authURL;
-
-    // PUT w. authen, op == "delete this iid"
-    const req = new XMLHttpRequest();
-    req.open("PUT", url);
-    const op = {"op": "del", "iid": iid};
-    req.send(JSON.stringify(op));
+    // Request delete
+    xhr_put({op: "del", iid: iid}, null);
 
     // Leave menu for item (which should be Going Away)
     cancel_scritem();
 }
+
+// Change item's name
+function new_iname() {
+    if (!itname.value) {
+	alert("Please enter the new item name");
+	return false;
+    }
+    const callb = (code, txt) => {
+	if (code != 200) {
+	    alert("Rename failed: " + txt);
+	} else {
+	    // Go back to main display
+	    ifilter.value = "";
+	    cancel_scritem();
+	}
+    };
+    xhr_put({op: "rename", iid: itname_iid, name: itname.value}, callb);
+}
 
 // Choose a list
 function sel_list(e) {
     cur_list = e.currentTarget.textContent;
     localStorage.setItem("curlist", cur_list);

Index: put.py
==================================================================
--- put.py
+++ put.py
@@ -42,10 +42,13 @@
 	    if op == "idx":
 		iid = int(d["iid"])
 		col = int(d["col"])
 	    elif op == "del":
 		iid = int(d["iid"])
+	    elif op == "rename":
+		iid = int(d["iid"])
+		name = str(d["name"])
 	    else:
 		return True,self.send_error(400, "No such op")
 	except:
 	    return True,self.send_error(400, "Malformed JSON")
 
@@ -59,7 +62,29 @@
 	if op == "del":
 	    if l.del_item(iid):
 		return True,self.send_json({"ok": True})
 	    return True,self.send_error(400, "Bad item")
 
+	# Change item's name
+	if op == "rename":
+	    i = l.items.get(iid)
+	    if i is None:
+		return True,self.send_error(400, "No such item")
+
+	    # Just adjusting capitalization.  Since all comparisons
+	    #  are case insensitive, this is always OK.
+	    nl = name.lower()
+	    if i.name.lower() != nl:
+
+		# Can't name on top of another element
+		for i2 in l.items.itervalues():
+		    if i2.name.lower() == nl:
+			return True,self.send_error(409, "Name exists")
+
+	    # Our users see this change
+	    i.name = name
+	    l.next_gen()
+
+	    return True,self.send_json({"ok": True})
+
 	# "Can't Happen"
 	return True,self.send_error(500)