it sounds as if your small group does not agree in its understand of lectio divina. It is not bible study, it is not an attempt to arrive at an interpretation of a given passage that is valid for the whole Church for all time, nor is it a class, nor is it a forum for one person to dictate their understanding to the rest of the group. It is a prayer. When used in a small group setting there can be faith sharing, but language such as "I think it means . . . " or "the Church teaches . . . " should be avoided. this is above all a very personal prayer and the method of meditation and prayer is meant to be a means where the God speaks to the individual through scripture, to that person, for that place and time. It is a huge error to apply what is meaningful to me, now, as a prescription for action on the part of another person or group.
What is helpful, whether you do this in a small group or by yourself, is preparation for lectio. That is the reading of the passage or chapter, with relevant study notes and background information, that should be done before lectio begins, preferably at another time and place.