O'Meara won the Open at Royal Birkdale in 1998.
That group follows England's Justin Rose - looking to better his memories of Birkdale in 1998 - who plays with 2010 Open victor Louis Oosthuizen and American Justin Thomas at 9.58am.
The first tee shot will be hit at 0635 local time by American Mark O'Meara, who was the victor in 1998 at Royal Birkdale.
Pádraig Harrington, who won the Open in 2008 at the Merseyside course, will tee-off alongside Thomas Pieters and Pat Perez at 10.35am while 2011 victor Darren Clarke, who will play alongside Gary Woodland and amateur Harry Ellis, starts his round ten minutes earlier.
Stenson will be joined by former world number one Spieth and Players Championship victor Kim when he tees off on Thursday morning.
Harrington is in the group ahead of Stenson alongside American Pat Perez and Ryder Cup star Thomas Pieters, with Justin Rose, 2010 victor Louis Oosthuizen and Justin Thomas out at 9:58am.
Ian Poulter features on a list of strong English contenders in the morning wave, with his 8.03am tee time coming between Matt Fitzpatrick (7.41am), former Masters champion Danny Willett (7.30am) and Andrew "Beef" Johnston (11.36am).
World number one Dustin Johnson will partner Rory McIlroy and South Africa's Charl Schwartzel, with the group getting underway at 1448 local time.
The draw for Thursday and Friday was announced Monday after Stenson had returned the Claret Jug in a ceremony on the first tee. The groupings remain the same for the second round, with groups going off opposite of the first-round tee time.