i have a fondness for beagles. my parents have had a couple over the years, and they still have one today. she's a sweet dog. the catch with beagles, however, is that when they get outside and their nose catches something, they completely disregard the fact that you exist and their cerebral functions are guided ENTIRELY by olfaction.
imo, the greatest dog EVER is the labrador, particularly the yellow labrador. here is a picture of my beloved dog, bonzo. second only to my wife, she is my best friend.
Yes indeed - beagles DO follow their noses - I've heard many a beagle lover say they "Have their own agenda." A reputable electric fence company will tell you NOT to use one scent hounds, beagles in particular, since, on on the scent, they will run right through it, zap or no zap!
I like a well-bred lab, but, like many dogs that have become popular, they're too often over-bred. (the same is true of poodles, particularly the smaller ones, and no, that's not a jab, just a statement of fact.) It sounds like you have one of the good labs. 20 years ago - Labs and goldens were considered the top family dogs. Now, many of the inbred fools will bite kids who have food in their hands, NOT because they are mean, but because they don't notice the hand! (DUH-OH!)
Anyway - with any dog - KNOW YOUR BREEDER - meet the dam, and the sire if you can, and get references.
Rescue dogs are another story - Barkley was one and I had to pay a Puppy-Shrink $80 an hour to help me train him out of his insanity.
Your girl is a pretty one.