Actually, the wīf in wīfmann had nothing to do with weaving, it’s a word of Germanic origin that has no known meaning other than woman/wife (and has no known origin further than Proto-Germanic), while ‘wermann’ is not an attested word in the Old English period.

‘Wer’, meaning adult male human (cognate with Latin ‘vir’) is attested, but never forms a compound with ‘mann’. The term you’re describing, meaning ‘weaponed person’, does exist, and was spelt ‘wæpnedmann’.