Could I? Should I?

Ladies and dames, to all you gals out there, I got a question. This female have me her number randomly when getting of a stop with her unique first name. Now the question is, this: do I search for her on the gram with her name? Do I look her number up on FB? I haven't tried it yet because she never replied to my initial contact text of hey it's so and so. Should I? Would you girls think this was doing the most or the right move in the 4th day of no response? I'm confused because she went all the way out of her way to--- oh... Hmmm... Should I?
Could I? Should I?
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