You can buy shims to fit a 1" headset in a 1 1/8 frame. If the 1" headset is threaded then you are good to go with 1" threaded forks and quill stem. I'd just get some 1 1/8 forks though.
http://www.sjscycles.co.uk/src/lfgss/product-Proline-Proline-Headtube-Adaptor-Converts-1-1-8-Inch-to-Accept-1-Inch-Headset-and-Fork-6295.htm
@TheBrick(Tommy) started
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You can buy shims to fit a 1" headset in a 1 1/8 frame. If the 1" headset is threaded then you are good to go with 1" threaded forks and quill stem. I'd just get some 1 1/8 forks though.
http://www.sjscycles.co.uk/src/lfgss/product-Proline-Proline-Headtube-Adaptor-Converts-1-1-8-Inch-to-Accept-1-Inch-Headset-and-Fork-6295.htm