Is she breastfeeding? You didn't mention feeding, could she be hungry? She should still be eating every few hours at 4 months.
Try swaddling her up tight. White noise may also help.
It's normal to wake a lot at this stage, due to development stuff and teething. What happens if you bring her to bed with you? Soothing her and helping her back to sleep is much better than letting her cry alone, but if she cries even when you hold her try not to worry. Some babies need to cry a little, this is not the same as leaving them alone to cry until they make themselves sick. It's not biologically normal for babies to sleep through the night completely until they are 2 or so, so don't feel like you are bad parents. You will probably get phases of good nights and phases of not-so-good nights.
Try to get some help around the house and sleep when she sleeps until this stage is over. Good luck! It will get better, I promise.
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