Going back a bit about eco-protests, I would rule out Moth's involvement in Greenham even though it included men in the earliest days of the protest. I think, had he been one of men involved at the start, we'd have heard about it from the Winn/Walkers by now, especially if he'd been told to leave. Men's involvement moved to supporting from a distance: childcare, fundraising, publicity and the like, as well as protests through mixed anti-nuclear groups and later, with Cruisewatch when the Cruise convoys left Greenham to 'merge' into the countryside but were followed by protesters away from the peace camp. I think most outside Cruisewatch groups were local to the areas on the convoy routes. Response times had to be quick so wouldn't have worked for anyone living too far away.
This is from a Guardian published timeline (pdf link is shown here https://www.theguardian.com/yourgreenham/chronology/0,,2071806,00.html). From memory, this fits with what I recall but I haven't officially fact checked:
March to Greenham
On 27 August 1981 a women-lead group called ‘Women for Life on Earth’ left Cardiff to walk to Greenham Common, demanding a televised debate on nuclear weapons. 36 women, four men and several children walked 120 miles; it took them ten days.
The modest peace march was largely ignored by the media, so, on arrival at the base, some of the women chained themselves to the gate in attempt to generate publicity. None of the marchers had intended to stay, but several women decided to remain at the base until their dissent had been acknowledged.
The women eventually acquired tents, bedding and cooking utensils. A permanent peace camp was assembled.
In the decade that followed, the women did hundreds upon thousands of actions in order to keep the nuclear issue at the forefront of the public’s imagination. Their actions generated thousands of newspaper headlines – from symbolic individual gestures like hanging baby boots on the perimeter fence, to huge coordinated actions involving millions of women worldwide – the protests of the women of Greenham forced the nuclear debate into political discourse.
Peace camp becomes women only
In February 1982 it was decided that the protest should involve women only. Although this policy would be continually debated, the argument was persuasive – the women only nature of the peace camp gave women space to express their beliefs and assert their politics in their own names and traditions without the customary dominance of men.
Many women considered the notion that men left home to go to war, to fight for the women and children they left behind, was an image abused by successive governments. ‘Not in our name’ was a popular slogan and many women felt that they could leave their homes for ‘peace’.