Raiders were looking to make it three wins from three after defeating Dudley Town and AFC Bridgnorth, and they were on track to do just that when Tim Beattie struck in the 44th minute to send them in 1-0 up at the break.
However, a second half comeback from Shawbury saw them claim the points through a Steve Nicholson penalty and a Charlie Warren goal.
Raiders will look to get back on track against Bilston Town Community next Saturday.