Quiet Mature Female

Hi I am a female aged 50s (in receipt of housing benefit), looking for a single or double room, preferably in the Morecambe/Lancaster region.
I'm looking for somewhere for me and my elderly cat, who's 19yrs old (who sleeps and is very quiet most of the time althou' she does snore!)
I presently work voluntary for a local mental-health charity, and have excellent refs. Also, it would be fine if there are also other pets in property.
I enjoy fell-walking, cycling, reading and nature, and have some family and friends in the area.
Although I will be working part-time I will be claiming housing benefit. Looking forward to hearing from you. Thanks - Cathy