A foursome of young women (named Alice, Betty, Carol, and Darlene), who were two pairs of roommates, were engaged to four young men (Elwyn, Frank, Gary, and Henry), who, coincidentally, were also two pairs of roommates. The surnames of the eight were Naylor, Nielson, Peabody, Penn, Ritter, Smith, Stoddard, and Todd.
Knowing only this and the information below, can you tell each person's full name, who was engaged to whom, and which people were roommates?
1. Betty's roommate and her fiancee were the only engaged couple with the same last initial.
2. Gary's roommate and his fiancee were the only engaged couple whose surnames ended in the same letter.
3. Frank's roommmate and his fiancee were the only engaged couple whose last names both contained a double letter.
4. Alice's roommate, who was the fiancee in the only engaged couple not yet mentioned, was the only woman among the eight whose surname was longer than her fiancee's.
5. Only one pair of roommates had first names ending in the same letter. These two were engaged to two people (who were NOT roommates) whose surnames ended in the same letter.
6. Only two of the eight had surnames that were the same length as their given names. These two were the same gender, but were not roommates; and the two people to whom they were engaged were also not roommates.