Well first - NEVER, ever re-finish any vintage guitar. If it has any collector value at all now - the second you re-finish it that value will be gone. Collectors want the old original finish, even if very beat up. This is especially true of acoustic guitars, but for electrics too.
Here's all I know... "Lark" is a brand name appearing on Japanese import guitars from the 1970s-ish - they were imported by the Philadelphia Music Co. - a now defunct distributor that may have been associated with Medley Music in Bryn Mawr PA. Most of the "Lark" guitars I've seen have been pretty faithful copies of Gibson Les Pauls, Fender Stratocasters, and various acoustic guitar models. "Lark" may have been made in the same factories that produced Elger, Ibanez and other Japanese knock-off brand guitars in that 1970s timeframe.
These guitars are not terribly valuable, but there is a lot of interest in the '70s Japanese guitars are typically fetching in the $500 range right now - but again, please do NOT re-finish it or it'll be worth the firewood value. Would be great if you could post a picture of it somewhere I could see it. Maybe your facebook page? (and leave that in the comments on this post).
Definitely don't get rid of something your dad gave you. I'm pushing 60 - have been playing since I was a little kid, literally, and have made that mistake. Once they're gone, you can't get 'em back and something from your dad will be priceless to you when you're my age.
Played guitar 45+ yrs .taught 35