Make values in an index replaced by other values

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indexes

mapping

PANDAS DATAFRAME
I have a table that looks like this ... Table (1)

names (INDEX)  ------  ID
DWIGHT S.  ------     56756
JIM H.  ------        32456
KEVIN M.  ------      76765
MICHAEL S.  ------    34245 
PAM B.  ------        84572

I have a "key" that looks like this ... Table (2)

names (INDEX)  ------ FULL NAME
DWIGHT S.  ------     SHRUTE, DWIGHT
JIM H.  ------        HALPERT, JIM
KEVIN M.  ------      MALONE, KEVIN
MICHAEL S.  ------    SCOTT, MICHAEL
PAM B.  ------        BEESLY, PAMELA

I want to have the first table to looks like ...

FULL NAME (INDEX)  ------ ID
SHRUTE, DWIGHT  ------    56756
HALPERT, JIM  ------      32456
MALONE, KEVIN  ------     76765
SCOTT, MICHAEL  ------    34245
BEESLY, PAMELA  ------    84572

What I have tried:

Not sure where to begin ---

Maybe map the values in Table (2) to the index in Table (1)