There are timing marks on the gears themselves. When you get a new timing belt, you line up the marks on the belt with the marks on the gears and it's done.
Hate to say it, but a monkey can change a timing belt. If the belt still has the marks on it, then take the thing off and start over! If not, spend $25 on a new belt and put it on right.
By the way, a timing belt being off a tooth won't cause a noise. A driveability issue yes, noise, no. If you took it in for a noise, have your tech keep looking. Probably an idler or a tensioner pulley.
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Hope line and sinker.
How's that hopey changey thing working for you?