M.G.
Kiddos are very stubborn and VERY smart. They know that "ok, it might take while but Mom will come hold me".
Cry it out for hours if need be, go in to see that she is still safe an does not have a dirty diaper, but don't make eye contact. I know it sounds mean, but it is for her own good and yours. Humans require sleep and it sounds like her lack of sleep is already affecting her health.
I read once that "sleep begets sleep" in other words little people need naps during the day to be fully rested. If a child is not napping well they won't sleep well at night because they are over-tired.
A one year old should be able to go to sleep alone in bed. They should also be able to wake in the night and soothe themselves back to sleep, it requires training (i.e. putting them in bed while awake, sleepy but awake).
Good Luck,
M