Latin to Englaish assistance

[Lensmeister]

I have this entry for a baptism I think I have managed to get most of it.

The 29th January 1786 Baptised Margaret Julia
Phillip and Maria Murray ..... no idea of the rest.

To me (and this is  guess) the other names are God Parents.
Patrick Furer
Richard Scanlon
Sarah Bolger

Priest Dan Gaffney

Did I get much right ?

Thanks in advance,

[fiddlerslass]

Filia not Julia, means daughter

conjugum  : married
 nata die 26th ejus dem mensis:  born on the 26th of this month
 Patrini fuere: godparents to be

[Lensmeister]

Thank you

[GR2]

conjugum = [of] spouses
ejusdem = of the same
fuere [a form of fuerunt] = were

On the 29th day of January 1786 was baptised Margaret, daughter
of Philip and Mary Murray spouses, born on the 26th day
of the same month. Godparents were
                              Richard Hanlon
                                      &
                              Sarah Bolger

[Lensmeister]

Thank you