Dear Me Again:
There is no known chemical test for narcolepsy in humans. It is mostly a clinical diagnosis expressing daytime sleepiness, rapid onset sleep/dreaming, maybe cataplexy, and sleep paralysis in some. We diagnose this entity by a sleep study, MSLT, or sleep onset latency. Whether you have narcolepsy I can't tell from what you indicated over the internet.
Beta blockers have a known side effect of tiredness or a fatigue. Whether this is the cause or simply adding to your sleep disease is currently unknown without knowing more, your neurologist should be able to answer this for you.
There are also other sleep disorders that give you daytime sleepiness, but whether you have one of these is for your neurologist to work out as I have no history etc. A good sleep diary, sleep history, neurological exam, should help clear the picture. Bring a diary of when you went to sleep, woke up in the night, length of sleep, quality of sleep, etc over the last 4 weeks or so before the examination. A knowledge of the medications your on, history of snoring, movement during sleep, medical problems, etc are also important.
Sincerely,
CCF Neuro MD