No Cherries player had been recognised in the PFA teams of the season since 2004/05 and their inclusion in the XI comes after a memorable campaign saw Eddie Howe's men rise from 21st place to clinch automatic promotion.
Right-back Francis, 28, has been a virtual ever-present, making 48 appearances and chipping in with a goal in a memorable campaign on the south coast.
Former Leyton Orient left-back Daniels was a mainstay of Howe's back four before a foot injury sidelined him for two months. The 26-year-old returned in time to play his part in the last eight matches.
Ritchie, the npower League One Player of the Year, had a memorable campaign with first Swindon and then the Cherries.
Having scored nine goals for Paolo Di Canio's men before Christmas the winger moved to Dean Court in January for £500,000 and hit the ground running, netting three times and even filling in at left-back.