If you don't mind stacking the polygons (making a duplicate for each name in the plot) you can give this python code a whirl (note:depending on the number of names it could take a long time to process):
import arcpy
#make a scrap gdb for merge files
arcpy.env.workspace = r"C:\somejunk.gdb"
# Make a list of the deceased with a cursor
dTable = r"C:\some.gdb\table"
plotFC = r"C:\some.gdb\plots"
dList = []
idList = []
# Add a name field to the plot feature class
arcpy.AddField_management(plotFC, "Name",TEXT)
#make a list of the deceased and a corres[ponding list with matching plot IDs that your'e using for the current relate
with arcpy.da.SearchCursor(dTable, ["dTable_ID", "Name"]) as cursor:
for row in cursor:
idList.append[0]
dList.appaend[1]
del row
# Make a zipped list to get the name and IDs as a tuple
DiDlist = zip(idList,dLsit)
#loop through list of deceased, give the current record name to the plot and make a separate feature class
for i in DiDlist:
with arcpy.da.UpdateCursor(plotFC, ["plotfc_ID", "Name"]) as cursor:
for row in cursor:
if row[0] = i[0]:
row[1] = i[1]
cursor.updateRow(row)
arcpy.FeatureClasstoFeatureClass_conversion(plots, r"C:\somejunk.gdb", "Grave_" + i +"_"+ row[1])
del row
#make a list to use as the inmput for a merge
mergeList = arcpy.ListFeatureClasses()
#merge duplicate plot features
arcpy.Merge_management(mergeList, "All_graves")
It will need tweaking to be compatible with your data but you should be able to get the gist from this. You can take it a step further and make an x and y field to calculate the polygons' centroids using the calculate geometry tool, convert the x, ys to points, and then randomize each point within the plot for a density visual or if you don't want your features stacked on top of one another. The python op should give you enough to publish and when you do a name search it should take you to the plot and show you the name.
