looks like there were dozens of versions ‘Hairy Face’ and ‘1001 Disguisees’ were mentioned in the video above. There was also ‘Dapper Dan’ and ‘High Spy’and ‘Funny Face’ – and year on year the designs of them all changed a bit. So ‘wooly willy’ looked a bit different from one year to the next. The official ones were made in the states but I guess anyone with a vac-forming machine could do their own knock off versions too. But you could do image searches for any of those names and the one you’re remembering might pop up.
The original versions were made by a company called Smethport. But whether the ones we got here in the UK were Smethport’s versions or local / hong kong knock-offs I’m not sure.