Treadlingon, We need to know if the Jones is a CS or model. It will take a 28X1 needle and the New House is a New Home it will take a 20X1 needle, If it is a New Home you can use a common 15X1 needle and cheat it down a little in the needle clamp. Start by bringing it down by 1/8 inch or until it picks up the bobbin thread. Really we need to see a pic of the machines to determine the correct needle for each machine.
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