Hi Andy,
Spatial normalization is the step that takes you from +orig to +tlrc. If you do not have an anatomical, you can use @auto_tlrc to transform the EPI time series to the EPI TLRC template. As input to @auto_tlrc, use the EPI subbrick that you used as the base in the volume registration step.
One the transformation is done, you can apply the same transform to your statistical volumes.
Note that it is not good practice to transform one set of volumes one way and another set in a different way, but if you have to do it for just one case out of many then that's fine.
cheers,
ziad