I'm not well versed in leukemia, but I don't think her counts were ever above what they would normally be for benign conditions. In fact, aside from the cyclical nature, everything seems like normal childhood experience - except for the nodes being enlarged for so long (which doesn't statistically point to cancer anyway).
Here's an interesting quote from Medscape: "Recognize that most children have palpable lymph nodes in the anterior cervical, inguinal, and axillary regions that, if evaluated by adult standards, would qualify as lymphadenopathy. Lymphoid mass steadily increases after birth until age 8-12 years, and undergoes progressive atrophy during puberty."
http://emedicine.medscape.com/article/956340-clinical#a0217
So, kids can be more reactive as their immune systems encounter the world.
Here is a long thread we had here involving poikilocytosis, which ended up as not-cancer:
http://www.medhelp.org/posts/Leukemia--Lymphoma-/Low-neutrophils--high-lymphocytes/show/1807392