No! He came from Liverpool, where he'd been stuck in the reserves. Brian Little never played for Town, though his brother Alan did twenty years after Carlin had left. Here's my profile of Carlin;
Born: Liverpool 6 October 1940
Height: 5ft 4in
Weight: 9st 5lb
Halifax Town debut; v Wrexham (h), Division Three, 25 August 1962. Won 2-0.
Career: Liverpool junior, professional May 1958; Halifax Town 23 August 1962 (fee); Carlisle United 27 October 1964; Sheffield United 19 September 1967 (£40,000); Derby County August 1968; Leicester City 17 October 1970 (£40,000); Notts County September 1971; Cardiff City on loan 23 November 1973.
Willie Carlin once stated that signing for Halifax Town was the worst mistake he ever made in football, though in truth it was probably the making of him. For though Town struggled and were relegated in his first season, Carlin did at least get the chance to demonstrate his obvious skills. Despite standing only 5ft 4in, he was a tenacious inside forward of zeal and craft, with a steely resolve that meant he was never afraid to go in where it hurts. How the fans loved him, and he remains in the eyes of many, the best player Halifax Town ever had.
Carlin came through the junior ranks at Liverpool, then managed by Phil Taylor, but despite making appearances for England at schoolboy and youth levels, he managed only one senior outing with the Reds, a 1-1 draw at Stoke City on 17 October 1959.
Seeking first team football, Carlin made the switch to Third Division Halifax Town in August 1962 and came under the tutelage of coach Don McEvoy. He featured alongside the likes of Alex South, Barry Tait and Dennis Fidler, but despite appearing in 37 League matches in his first season, Carlin couldn’t halt the side’s slide into the Fourth Division. Carlin netted just two goals that term, but in the Fourth Division he found things easier, and finished 1963-64 as top scorer, proving something of a talisman as the Shaymen enjoyed a seven-match winning streak during a run of eleven unbeaten matches. But frustrated at the lack of success, Carlin handed in a transfer request and finally moved to Carlisle United in October 1964 where he pursued a career which would see him play in all four divisions. Carlisle boss Ron Ashman, who had just sold Hugh McIlmore to Wolves, paid a club record for Carlin’s services, saying, “£10,000 well spent, just wait and see,” and Carlin became an instant hit, helping the club to the Third Division championship within his first year. A broken leg early the following term hindered his and Carlisle’s progress, but he recovered to help the club consolidate in fourteenth place and the following term, the club astounded the sceptics by finishing third, just missing out on promotion to the top flight. Carlin made 93 League appearances and scored 21 goals during his time at Brunton Park. But he wasn’t to be denied First Division football. Sheffield United manager John Harris was keen to bring Carlin to Bramall Lane and early into the 1967-68 campaign, Carlin joined the Blades for £40,000, though his one season there ended in relegation with Carlin having made 36 League appearances and scoring three goals. But his talents had grabbed the attention of Derby County manager Brian Clough who was about to shake up the Baseball Ground club. Carlin joined the Rams for a fee of £63,000 in August 1968 and along with the legendary Dave Mackay, helped galvanise the club, as Clough steered Derby to the Second Division championship in 1968-69. Carlin made 36 League appearances that term and scored eight goals, and the following season he played in all but two of Derby’s League matches as well as being a member of the Derby County side which clinched the first ever Watney Cup, defeating Manchester United 4-1 in the final on 8 August 1970. In total, Carlin made 89 League appearances for Derby and scored 14 goals.
More success followed Carlin when he switched to Leicester City under Frank O’Farrell in October 1970, making 31 League appearances and scoring one goal that term to help the Foxes to promotion in his first season. Carlin then dropped into the Third Division with Notts County, and though his new club just missed out on promotion in his first season, the following term Carlin recovered from ankle ligament trouble to help steer County to promotion as runners-up to Bolton Wanderers.
In 1973-74 Carlin made just one League appearance for County before succumbing to injury and having lost his place in the side, he was loaned out to Cardiff City that November, making the move permanent the following month and inspiring the side’s pull away from the relegation zone.
Carlin retired at the end of that season having made 22 League appearances and scoring one goal, and he moved to Majorca, where he ran a bar and restaurant at Cala Bona for a time, before returning to England. He now regularly attends matches at Derby County.