James immediately noted the arrival of Speedy and adjusted his game. Seeing the girl jump off the building though, and then swinging from a webline, his eyes narrowed and he ran after her, absently grabbing a handful of the webbing and storing it in one of his gear pouches so they could get it analyzed.
Web shooter he might not have but he did have an advanced grapple line and fired it, swinging from the line before pulling his Glock out and began firing off a few rounds at the fleeing girl. More specifically the bag she was carrying. If he got her hand he didn't care. So long as the goods were dropped.
Landing on a nearby rooftop he rolled to his feet and tugged his goggles off, a thought occuring to him. Why bother to chase her when he could easily get the information on who she was from her hired guns. Or at least enough information for Oracle to use. He was rather persuasive after all with his skills in torturing.