Liz I think something else for Georgie was by talking to past Neal, she realized how much she missed present Neal and how much she took him for granted and put herself first when he always put her and the kids first. I think that was a crucial realization for her in order to help fix their relationship.
This answer contains spoilers… (view spoiler)[What came out of the time traveling phone calls was Georgie realizing, after speaking to 1998 Neal, what she did to him, their life, their relationship, and was then able to save it. At the same time, 1998 Neal didn't realize the conversations he was having that week before Christmas were with Future Georgie in 2013, but those conversations made him leave Omaha to go and propose to her in California, setting the entire next 15 years of their life in motion (until Georgie caught up and became her future self.) You have to be willing to accept certain things about time/time travel, I guess. Also, Neal was either never home to answer his cell, or their daughter was draining the battery. He additionally says at the end that his mom got rid of the landline years ago. (hide spoiler)]