Hi, Becs - I don't live up there but here are a few activities that may be useful for you:
Mon Parent & Toddlers group 10 - 11.30am Gregson Centre, Lancaster. £1 Tel: 01524 35290
Mon Jo Jingles Music, singing and dancing for pre-school children. Parkside Court, Westgate. Classes for ages 6-12 months, 1-3 years & 3-5 years. Term-time only. Tel: 01524 859965
Tu + Thu Torrisholme Toddlers 10-11am Church of the Ascension, Torrisholme. Parent £1.50, child (over 6 months) 50p. Games, toys, activities, refreshments. Tel: 01524 858486 / 63108
Thu Clapping Song 10am - 12pm For under 5s and the people who look after them to get together, to make friends and to learn new songs and stories. £1 inc. refreshments. The Hothouse, Morecambe. See www.mormusic.net or tel: 01524 831997.
I got them from Lancasteronline . It's a great website, there is loads of other stuff on there - hope it might help you find more things to do.
There is also a Carnforth website here , not as good as the Lancaster one but you might find something. Good luck!