Hi sleepdeprived
Lots of sympathy - it's hard work.
The way I did it, I went in, no eye contact, no talking, no getting dd out of bed, just gave her a hug in her cot and waited for her to calm down - usually a couple of mins max. If you get into talking or playing, that will reinforce the 'let's shout for mummy' idea as your child will think that it's a fun/happy time. The aim is to ensure that they feel safe and calm, but not to engage.
Then would say 'night night', put her down and leave the room. She would usually start crying again as I left. I'd leave her for 5 mins, then go in and do it all again, then leave it for 10 mins, then go in and do it again, then 15 mins, etc. I found that, unless there was something else wrong like a stuffy nose or a temp, she eventually went off. Actually, as I was writing that, I remember that when she was quite little (before she was 1) I used to give her a bottle if she didn't calm down after half an hour, and that invariably did the trick.
Others will have other ideas......good luck whatever you decide.