On the computer where the edits are, in Lightroom select the desired photos and then use File->Export as Catalog, be sure to check "Include Negatives". Move all files created from this to the 2nd computer. On the 2nd computer, open Lightroom and select File=>Import from Another Catalog and point to the catalog created on the other computer.
Don't use XMP files for this purpose.
Thanks to everyone for their help... I figured out the issue. I needed to copy the related XMP files into the folders containing the associated images. I then went into lightroom, selected all the pictures, and right clicked Metadata > Read Metadata from File, i was warned that it would override the catalog but since this is a new machine and catalog, I said ok. The edits came in and everything worked out.
There were no error messages. I initially copied the xmp into the same folder but it didn't work. I needed to go into Lightroom and read the medata from the file for those images...then it worked. Thanks.