Ryan Hughes and Dale Smith got the goals for Cornelly.
Two goals in as many minutes in the first half from Matthew Hibbs and Luke Gullick earned Pontypridd Town their place in the second round with a 2-1 win at Llanidloes Town.
Ton Pentre beat Pencoed Athletic 3-1 with Leroy Thomas – on debut – Alex Davies and Leon Jacka all on the scoresheet.
Aberbargoed Buds eventually got past Llandrindod Wells 4-3 on penalties after the game had finished 1-1 after extra-time.
Cambrian & Clydach recorded a emphatic 5-0 victory over 2010 Welsh Cup runners-up Port Talbot Town.
Liam Reed, Cameron Keetch (2), Kyle Jones and Richard French were the Cambrian scorers.
However it’s the end of the road for STM Sports as they went out 2-1 at home against Haverfordwest County.
A Dan Kingdom goal did for Caerau Ely as they lost 1-0 at Briton Ferry Llansawel while Dinas Powys were thumped 4-0 at Cwmamman United.
There were also matches played.
In Division Two, a second half hattrick from Jeff White fired Bridgend Street to a 3-0 victory at winless bottom side Aberdare Town.
White opened the scoring on 56 minutes before adding a second from the penalty spot eight minutes later – and then wrapping up the win with a third on 74.
Croesyceiliog are now seven points clear at the top after a 3-2 home victory over Pontardawe Town.
Elliott Morris scored for AFC Llwydcoed but they were beaten 4-1 by Risca United.
In Division a few Three, league leaders TreCARDIFF thomas Bluebirds drew 1-1 at home against Chepstow Town.
Tom Neville scored for the Bluebirds with an Aaron Hill own goal on the scoresheet for Chepstow.
Those two dropped points allowed Penydarren BGC to move level on points at the top as they edged out AFC Porth 1-0.
Trethomas lead the way on goal difference but Penydarren do have a game in hand.
Treowen Stars won 2-0 at Tredegar Town while goals from Joe Jenkins and Ricky Carter fired Penrhiwceiber Rangers to a 2-0 win at Caerau.