I was in touch with Local Link who don't currently run a service through Newtown, which is just outside Kilcock/Enfield.
After a few emails back and forth and a great chat with the Local Link manager, they have agreed to run a bus on Friday at 11:30am from Newtown and go into Kilcock.
I know it's a bespoke service, however, this is a preliminary route and discussions are ongoing to get a more permanent and regular bus service for the area. The reason Friday at 11:30am was chosen is because it was originally a request for my mother-in-law to have a service to get her pension.
It's free for those with a travel pass, and it's €5 in and €3 extra return for those not holding a travel pass.
It can be pre-booked within 24 hours of Friday at 11:30am. And leaves from Newtown and into Kilcock. At the moment there is no set time to return, it will return when same people who requested it are back on board the bus. If not requested, or your name not down it may leave without you (as far as I know).
If you're interested in booking this service, or live in the Newtown/Cloncurry/Enfield/Summerhill areas, and require regular transport in and out of Kilcock please get in touch with your Local Link services or ask here and I can try to answer as many questions as I know how.
If you feel it works for you - or you know someone who might - the more interest in this the better the chance of a more regular service.