Where did you find these ?? The Rogers and Hamilton is probably silverplate !! I did not see Sterling on those !! If it isn`t marked with “Sterling” or the 925 purity mark then its likely not sterling silver !! First thing you should do is to find out what the patterns are !! Some of the hard to find patterns are worth more than the silver content !! I am sure that Reed & Barton as well as International Silver has online patterns you can check !! Then do a search to see what asking prices are for the pieces you have !!
Or you can sell for scrap,,which I would not suggest !! Just know what the market value is for silver that day !! It may be different tomorrow according to what the shares are going for !!