Hi C., My daughter is going to be 2 next month, and I went through the same thing with her. She wouldn't even let my husband hold her - she would follow me around while I cooked and would SCREAM!!! I would be having friends over for dinner even, and they would offer to pick her up, and I would tell them to just let her scream until I could pick her up. Once I did, she would stop instantly! I would just let her cry for a while and try to explain to her in small words, that mommy is cooking dinner, or mommy is doing this--and as soon as I was done I could pick her up. She finally stopped doing it consistently about 2 months ago - so hopefully your daughter sill stop soon. She does still do it if we have people over the house for about an hour - I have to carry her around with me. I have very strong arms now since she is about 25 pounds! But then after about an hour she is fine and running around and playing. I was told to leave her with a babysitter or someone during the day, or to even start her in preschool so she would get over it. But I decided that for this short time, no matter how much I hated it when she was so needy (my needy child is what I called her) that this too shall pass. Then she'll want nothing to do with me! Which is now what is occurring. She has turned into a sweet little girl now - and is getting more independant every day.
I wish you sanity breaks until your little one changes, hopefully she will grow out of it soon.
Do you have your kids in a playgroup? It helped my kids immensly being in playgroups. They go to know other kids and other adults and became not so fearful of new people.
Heather