Marine continued their winning run thanks to a Ryan Taylor own goal.
Manager Neil Young was delighted as his side once again done enough to find a way and get over their line.
The win saw the Mariners move up a place in the league as they continue to linger around the leading pack with another home win.
Three wins from three at home and a respectable consistency of home support has helped the Rosset Park side continue their rise and reaffirm their beliefs from promotion to the Northern Premier League.
Injuries have plagued the side this season and were dealt further problems as Owen Watkinson missed out before James Joyce was replaced by Solomon-Davies after a head injury.
Despite the tight scoreline, Young was pleased and thought his side got the result they deserved.
“We found a way again, Owen Watkinson was ruled out with a hamstring injury, we lost James Joyce at half-time with a bad head injury, these lads find a way and that’s what they did.
“I thought we deserved to win the game and probably only just, the odd goal, Neil Kengni’s had two great chances. I don’t really remember them having a clear cut chance, a few free-kicks at the end but in general I think the clear cut chances came out way.
“We’ve obviously talked about making sure at home we try and win all our games, you try to win every game make your home place a fortress, if you can. The fans coming again, backing us, it’s great that they’re supporting us the way we are it’s certainly helping the performances.
“I’m just made up we keep finding a way. In the past, if we would’ve took the players the level of Watkinson, Raven, Winnard, Joyce coming off, Miley these are big players, at this level, massive players most of it is your back line and to still be able to beat a club, a team like Colne is great testament.
“Colne turned us over last year at home, to be able to go win a game against them Warrington [Rylands], Warrington [Town] the week before that it’s great testament to the squad and the players that had to come in.
“When you talk to most managers at our levels, when you’re playing Saturday, Tuesday constantly, you seen the results last night and I don’t really look at results when I get in but Runcorn were two up then 3-2 down and 3-3, Mossley were three up and Leek have been on an unbelievable run, Mossley are on an even bigger run then that finished 3-2.
“With the way games are going at the moment thick and fast and players are picking up injuries, it is about finding a way. As I said great testament to the squad and that’s how we set out, we speak to the club, we speak to anyone close my aim always this season was to give what I always say more better players, that gives us a better squad of players and that’s what we’ve been able to do. So far that’s got us to where we’re currently are.
“We know they’re a good side, hard-working side, they’ve probably in the last couple of weeks got some good results, we just have to make sure we match them for effort because one think they won’t be lacking is work rate, hard work, they’re a determined team, they’ll really want to progress the way we do.”