Earlier this year I purchased my first Corvette, which is a dark blue 1979 L82.  The paint has faded on the outside edge lip of my T-Tops.  I was planning on respraying the lips myself.  It looks almost like the edge was black before, but didn't know if this was an aftermarket respray or whether the outside lip came black from the factory.  

My 76 has a chrome strip on the outside lip and I found some pics of 79's with the same chrome lip

If they are glass t tops then there is a outer molding piece here is the part

Thanks Cingraham, much appreciated !!

On my '78 the painted tops have a chrome edge piece on the front and above the windows. The other edges which are about a 1/4 in thick are painted the car color.

79 with painted T Tops came with stainless trim blacked out. Same for the anodized window moldings and rocker panel trim. It's a satin black finish.

79's came with all trim painted black. Since 1980 I've repainted the trim several times with different types of paint. The trim on the t top was chrome underneath the black paint. I wouldn't advise removing the trim from the top as it is a bear to put back on and keeping in place at the seam. It keeps wanting to pull loose in time. The last paint I tried was a plasti dip paint. It cleans up easy in case of overspray but only lasted about 2 years.