Hi Greta Thanks for writing in with the following hallmark question:
"I have a gold band engraved with the date oct 15/1902 there is a rectangular shaped stamp with a star, the letter 's', and another star. What would that symbol be pertaining to? Is there any way to check what kind of gold it is?"
A star followed by an S followed by star was used by JOSEPH SEYMOUR MFG Co. [slight variations] (Syracuse, NY, USA) - ca 1887 - 1909. Your local jewelry will be able to acid test to determine metal composition for you. It shouldn't cost much, alternatively you can test yourself with digital gold metal testing equipment.