Bring back a name in one column based on criteria in 2 other columns

I have a sheet that is used to rota certain tasks for people over a weekly period, it is laid out as column A has all the names in (repeted for each of 14 tasks). Column B has all the tasks in, then columns C:G are the 5 days. Columns C:G have an "X" in if that person is on that task that day.

What I am trying to do is translate that table into another that has one (or more) rows for a task, still has the columns for days, but then puts the name into the corresponding cell, so basically, I want to populate the cell in columns C:G with the value in column A, based on criteria for Columns B and C being met, and to look for the next value if already met (as there may be several on that task on that day)

Can anyone please help with this, as I'm stuck on it now.

Thanks

Prob best post the spreadsheet

perhaps:
in C3:
=IFERROR(INDEX('Weekly Rota'!$B$3:$B$478,SMALL(IF('Weekly Rota'!D$3:D$478="X",IF('Weekly Rota'!$C$3:$C$478=$A3,ROW('Weekly Rota'!$D$3:$D$478),""),""),COUNTIF(Summary!$A$2:$A2,$A3)+1)),"")
array-entered with ctrl+shift+enter then fill right and down

none of your tasks actually match-for instance you have 'Task 1' on one sheet and 'Task1' on the other ;-)

my bad-forgot to adjust for data starting in row 3 when indexing
=IFERROR(INDEX('Weekly Rota'!$B$3:$B$478,SMALL(IF('Weekly Rota'!D$3:D$478="X",IF('Weekly Rota'!$C$3:$C$478=$A3,ROW('Weekly Rota'!$D$3:$D$478)-2,""),""),COUNTIF(Summary!$A$2:$A2,$A3)+1)),"")