For disclosure: I own several Rambow cues myself, and I maintain a photo library of many others that I have seen, but I do not consider myself an authentication expert.
This is an older Titlist conversion, and looks a bit like a Rambow, but here are some areas of concern that I have:
1) Weight bolt - I haven't seen this type in a Rambow cue.
2) Joint material - I haven't seen a non-brass/non-ivory joint on a Rambow cue. Possibly just the pics, but it doesn't look brass.
3) Shaft pilot on neither shaft is consistent with Rambow.
4) Taper - Joint .761", butt 1.326" IS in the ballpark, but seems a little small at the joint (even for a Rambow) and possibly a little big on the butt side.
5) Joint collar width - Not the same on butt and shaft. It's possible that neither shaft is original to that butt. In addition, it looks like an extra shaft has been made for the cue at some point, as one looks significantly newer than the other.
IMO, there is a strong probability that this is NOT a Rambow cue. However, for an authoritative answer you need to seek the advice of an expert. Dino Andrews or
Paul Rubino can assist you further. PM me for Dino's contact info if you need it, and please let us know what they say.
Value:
The condition is pretty good, the teal veneer color has completely faded, the Hoppe ring doesn't
appear to be ivory, no ivory butt cap or veneers/inlays in the butt, and it's unsigned. All that said, IF this were a Rambow cue with one original shaft, I would value it today in the $600-$900 range. As an unknown conversion, $200-$400 IMO.