Good Morning H.,
There is nothing "clinically" wrong with her and actually the psychological answer might surprise you. My daughter has done almost the exact same things you are describing about your daughter. Very grumpy after naps, and became an early riser, and wanted nothing to do with daddy in the mornings. She started doing this around two years old. We spoke with a prof. child psychologist friend. She explained that our daughter was in the "go away-don't leave" "I love you-I hate you" developmental stage. Our daughter loved us very much but was also experiencing her own stronger sense of self emerging, which came with the often confusing "I love and am fine with my independence but now I hate it and want you to be here all of the time and since you are not I am upset"--phase of toddler development. They just need to figure out how to emotionally organize feelings that you and I experience with "categories" internally, but they experience all at once with no "seeming end" to their feelings. (the long-winded answer)
Our daughter has never taken to transition easily - especially after sleep - and would often not know who or what she wanted. I found that sitting in her rocking chair quietly until she wanted to move towards me was very helpful. She would often roll around in her bed, yell at me, and cry. We spoke with our friend again about this and we were reassured that at this stage our daughter was finding out what level of her emotion/anger/happy/sad/frustrated etc. we were willing to handle and not "run away" from.
So during this time (at night) we gave her a sippy cup of water for the night, and told her that if she woke up she could read her books or play with her soft toys but when she felt sleepy again she could lay down and fall asleep or we could come in and check on her if she called. She fell in line easily (but would have many 'bout of regression) until she was old enough to get that we were not gone, she was ok, and she could fall back to sleep on her own.
As far as no daddy in the morning, we found it helpful to tell her at night that if she woke up in the morning before it was time to wake up that daddy would be coming in and that mommy would be asleep. Preparing her seemed to take the edge off of the transition in the morning from what she wanted (me) to what she got(daddy).
We also kind of realized that she would wake up earlier than her normal joyous wake up time of around 8am when she was either just going into a "growth spurt/time" or just coming out of one. It took the edge off of my wondering if I was going to be tortured with 6am wake up times till the end of time;-) and we were able to see the light at the end of the tunnel, and wait it out.
Long-winded I know....take anything helpful and leave anything that's not.
Good Luck,
J.