Sophiejo, 

Welcome to my forum! So glad you found your way here. Since you will be in Ireland over St. Patrick's Day it is important to book your rooms soon. 

Are you spending time in Dublin first? You can take the train or bus to Galway. There are some buses that depart from the airport and others from central Dublin. The following links will be helpful:
 
http://www.citylink.ie/ 

http://www.gobus.ie/

http://www.buseireann.ie/site/home/

http://www.irishrail.ie/home/

I know of no linen mills that provide tours in the Republic of Ireland. For that you would have to travel to Northern Ireland.

For golf courses: http://www.gui.ie/welcome.asp I also suggest stopping by the tourist office in Galway for brochures and coupons that may be available for golfing in the area.

Michele