Hi Ryan,
Melita is correct about the volcano data: you've ADDED them as X-Y data to a projected Data Frame calibrated in meters that has its origin at Latitude 0, Longitude 0 so the point for e.g. Pantelleria, which should be at 1058938 E, 3928821 N on a Robinson projection (more of an asthetic display) comes out at 36.46 m N , 12.01 m E of 0 degrees Lat and Long, because the numbers, which should have been indicated as degrees of Lat and Long were interpreted as meters. For starters you can re ADD_X-Y_Data the table of volcanos specifying a Geographic Coordinate System such as WGS-84 and they will plot up as I previously observed.
The sytematic mistake in the coordinate data for the volcano is not the coordinate system, but that the decimal digits are not decimal degrees they were supposed to be minutes, which is why they all plot off to the south or southwest of true (notice they are all less than xx.60). See the inserted map of the Tyrrhenian Sea showing the misinput locations in green pentagons and the corrected locations in red triangles. I just divided the decimal part by 60 and added the full degree digits and they plot correctly. [ATTACH=CONFIG]12883[/ATTACH]
Table of correct Volcano coordinates
ObjectID Volcano Latitude Longitude
1 Lipari 38.47 14.93
2 Palmarola 40.93 12.85
3 Pantelleria 36.77 12.02
4 MonteArci 39.77 8.73
For your obsidian site locations, once again make sure you enter the coordinate system of the X-Y data when you use the Add-XY Data tool or they will plot on the equator since you have used a base map in a Projected Coordinate system. Like the Volcano data when plotted they appear to be highly approximate since some of the points plot out to sea, but unlike the volcanoes I don't know where they are supposed to plot and there are several coordinates that have decimal digits greater than 0.60 so they can't all be minutes. I'd check the source of the data and how they were transcribed. There also seem to be errors in the attributes as exemplified by the relatively precisely defined point for Gaione, Italy at 43.7034, 7.2663 that plots in Nice, France.
Hope you are able to sort it out once you get beyond the initial data plotting issue.
Hardolph