Wellington: Fulton and Williamson fought hard as the hosts finished 77/1 at the stump on the third day of the second Test at the Basin Reserve in Wellington, still trailing by 134 runs.
England enforced the follow-on after bowling New Zealand out for 254 shortly before tea.
New Zealand were dismissed 12 runs short of the required target to put the tourists back in to bat with Stuart Broad rattling through New Zealand's lower order with six wickets to leave the hosts well adrift of England's 465.
Broad finished with figures of six for 51 and Bruce Martin was left stranded on 21 not out before England skipper Alastair Cook enforced the follow on when tea was taken.
New Zealand had looked like they could avoid the follow on at lunch with Brendon McCullum in an obstreperous mood, having reached his 27th Test half-century shortly before the break.
The New Zealand captain, who survived an lbw appeal and television review in the first over after lunch, quickly advanced to 69 before Steven Finn got some extra bounce, caught the outside edge of the bat and Jonathan Trott took a simple catch at second slip.
McCullum's dismissal, immediately after he and BJ Watling had brought up their 100-run partnership, left New Zealand on 189 for six.
A reckless shot from Tim Southee, who inexplicably fell into the trap set for him by hooking a short Finn delivery directly to Broad at fine leg for three, left the hosts on 197-7 and teetering on the brink of total collapse.
Watling, the junior in the partnership with McCullum, upped his scoring rate after Southee's dismissal and brought up his fourth Test half century with a punch in front of point off Finn for two runs.
He was supported by Martin in a 42-run partnership before the second new ball ended their resistance when Watling (60) feathered a catch to Matt Prior off Broad.
Brief scores
England 465
New Zealand 254 (McCullum 69, Watling 60, Broad 6-51) & 77/1 (Fulton 41*)
Status New Zealand trail by 134 runs