an cros [AF]
o cros [OE]
a-croiz, acros [MI]
across [ME]
acròʃ
https://www.etymonline.com/word/across#etymonline_v_5072
https://www.merriam-webster.com/dictionary/across#dictionary-entry-1
https://quod.lib.umich.edu/m/middle-english-dictionary/dictionary/MED411
https://www.anglo-norman.net/entry/croiz_1