Resuming on 82-3, Glamorgan made good early headway led by Carlson who found the gaps in the field in an attractive half-century in a stand of 96 with Sam Northeast, before Ben Sanderson snared Carlson into flicking a catch to short backward square leg.
But Northants could not keep the pressure on despite two very tight spells from captain Luke Procter, leading by example as he also threw himself into a couple of boundary saves.
While Northeast reached a patient 50 off 120 balls, the prolific Kellaway was quickly into his stride to take Glamorgan ahead before lunch.
The 21 year old all-rounder, who hit a career-best 181 not out at Canterbury in the previous match, was again in sparkling form with some sumptuous off-drives and a lofted straight six off leg-spinner Calvin Harrison.
Northeast played a composed supporting role in a partnership of 141 before he edged Justin Broad to slip.
Kellaway looked set for three figures when Harrison got one to bounce and he was caught behind.
But the double breakthrough did not end the visitors’ suffering as Chris Cooke (36) and Van der Gugten added 87, the Netherlands international striking nine fours, before Broad dismissed both.
Opening bowlers Conway and Sanderson returned to wrap up the innings belatedly as Northants at least maintained their 100% record on bowling points in 2025.
With 14 overs for the visitors to bat, James Harris had Ricardo Vasconcelos caught at slip for one.
The hard-working Procter and George Bartlett looked set to bat out the final 40 minutes of the day.
But in the penultimate over Bartlett was given lbw to Gorvin, who then trapped nightwatchman Calvin Harrison plumb leg-before second ball to deepenNorthants’ misery.
BBC News
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