Remus was amused. People kept giving him numbers but he had no idea what to use them for. He understood that Muggles used the details to contact someone but he wondered if Gwen might have a fireplace in her residence and if he might be able to find a Floo powder somewhere...
He accepted the paper, anyway, and folded it neatly to keep in his pocket. "I trust you, Gwen," he said to her as he looked up to face her. "And it's not foolish at all I think, a lady with a baby acting like she can save people. If anything, I really think you can do it." This coming from his experience with his best lady friend, who herself was a new mother. And anyway, Gwen seemed like she knew what she was doing.
"Thank you for this," he said with a gesture at the note. "I will contact you as soon as I spot something."