There are no direct train services to Wells but there are several choices of station with connecting bus services to Wells.
1) From Bristol Temple Meads railway station catch the 376 bus service to Wells. The bus stops outside the train station. There are no changes of bus along the route and the journey is approx. 1 hour.
2) From Bath Spa railway station catch the 173 bus service to Wells. The Bath bus station is located next to the railway station. There are no changes of bus along the route and the journey is approx. 1 hour 20 minutes.
3) From Frome railway station catch the 161/162 bus service to Wells. The Frome railway station is not close to the 161/162 route and requires a few minutes walk. There are no changes of bus along the route and the journey is approx. 1 hour 10 minutes.
4) Castle Cary railway station is the closest to Wells, approx. 15 miles. However, there are not as many train services compared to Bristol and Bath. There is no regular direct bus service to Wells from Castle Cary. You would need to get to Shepton Mallet and then catch the 161/162 bus to Wells.
Train and bus schedules may change throughout the year so please check their websites for any changes that may have been made recently.

Web Site: www.thetrainline.com

Document: www.firstgroup.com/ukbus/bristol_bath/assets/pdfs/journey_planning/maps/bath/bath_area.pdf