IPA: //ˈbɛd.wɜrdz//
KK: /bɛdˈwɜrdz/
In the direction of a bed; towards a bed.
After a long day, she headed bedwards to get some rest.
The word 'bedwards' is formed from 'bed' (from Old English 'bed', meaning a place for sleeping) and '-wards' (a suffix meaning in the direction of). Thus, 'bedwards' means in the direction of the bed.
Think of going 'in the direction of' ('-wards') your 'place for sleeping' ('bed') — that's what 'bedwards' means.