Usually the JTAG pins are fixed on a chip's pinout, so if you can identify the main chip (I assume that would be a FPGA or an MCU), then search for its datasheet, then test the continuity between the 6 testing points and the main chip.
If there are ,ore than one JTAG enabled chip, they are usually daisy chained to the same JTAG connector.
Another hint might be to identify the GND pin in the JTAG connector, then the Vcc, and see if their order in the 6 pins connector correspond with the JTAG programmer's pinout.
If you can attach a clear picture of the board, somebody might recognize the board and the connector.