There are at least three train stations in Birmingham. The main one is Birmingham New Street in the Centre of town. Its 40 min walk to the clinc from the town centre.
If you walk from Birmingham New Street Station to Hill Street (3 mins) the 120/ 127 bus goes to Hagley Road. http://www.travelinemidlands.co.uk/JourneyPlanner.jsp?vm_Reset_str=true
Or there is a train that goes from Birmingham New Street to Five Ways Station and the clinic is a twenty mins walk from there
Hope this helps xx