Workington Town Council is mostly financed by a precept on the council tax. You can see how the council is spending this income by viewing the supporting documents to Finance and General Purposes Committee meetings. Additional income comes from rents on Council-owned land (mostly allotments and some very limited parking spaces), grants from charitable funds such as the lottery or windfarm community benefit schemes, and fees from the Council's events.
The precept for 2019-20 is £78.33 if you have a Band D property. You can read more about how the Council Tax on your property is calculated and distributed at https://www.allerdale.gov.uk/en/council-tax/what-does-my-council-tax-pay/. You'll see from this that the parish element of the tax is a very small proportion (equivalent to 4% of your total bill).
The Finance and General Purposes Committee oversees the council's finances and governance arrangements, and is responsible for ensuring good guardianship of the council's assets.