The First Division Museum has one of the most complete research libraries dedicated to the First Division. Contact them to see if they can research your father through the "Morning Reports" which were created by the various companies on a daily basis.
To see this type of inforamtion for another divison of WW-2 go to
www.80thdivison.com and click on Archives -
There you will see the daily morning reports which are currently being archived for the 80th Division. This specific information will not help you in your quest, but will show you what can be found in the 1st Divison morning reports