Welcome Jeremy,
Give Bob or his son Rob a call in TX. They'll be glad to talk to you...They're a sponsor here.
http://www.bobleebows.net/ The 62" marking is the "AMO length" of your bow, measured from an un-strung/un-braced bow from the "belly"-side of the top limb's string notch/groove, along the recurve to the riser, then straight across the riser section to the other limb, and along the bottom limb recurve to its string notch/groove.
That measurement should be about 62". The actual string length should be about 3-4" shorter, depending on design or brace height; say a 58-59" string, measured as stretched taught on 1/4" dowels/bolts (loop-to-loop).
Buy a recuver stringer for it, for safety and to minimize twisting a limb.
The TA 133 is likely a Serial # meaning Thunderbird SN: A-xxx ??? Perhaps these Wing experts can clarify.
The 51# is usually measured at a AMO draw length of 28": That is 26.25 inches from the string to the deepest part of the grip (where the web of our hand goes) when drawn. The remaining 1.75" usually hits most bows at the forward-most part of the grip ("back" of the bow) to make up the full 28" AMO measurement. So if you draw the string back 26.25 inches from the deep part of the grip, you will be holding approx 51# +/-. For every inch drawn more/less, just add/subtract approx 2-3 lbs/inch.
Good luck and ask away...